| # |
ODE |
CAS classification |
Solved |
Maple |
Mma |
Sympy |
time(sec) |
| \begin{align*}
y^{\prime }&=2 x +1 \\
y \left (0\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.588 |
|
| \begin{align*}
y^{\prime }&=\left (x -2\right )^{2} \\
y \left (2\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.377 |
|
| \begin{align*}
y^{\prime }&=\sqrt {x} \\
y \left (4\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.840 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x^{2}} \\
y \left (1\right ) &= 5 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{\sqrt {2+x}} \\
y \left (2\right ) &= -1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.468 |
|
| \begin{align*}
y^{\prime }&=x \sqrt {x^{2}+9} \\
y \left (-4\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.796 |
|
| \begin{align*}
y^{\prime }&=\frac {10}{x^{2}+1} \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.479 |
|
| \begin{align*}
y^{\prime }&=\cos \left (2 x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.480 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{\sqrt {-x^{2}+1}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| \begin{align*}
y^{\prime }&=x \,{\mathrm e}^{-x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.461 |
|
| \begin{align*}
y^{\prime }&=2 x +1 \\
y \left (0\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.434 |
|
| \begin{align*}
y^{\prime }&=\left (x -2\right )^{2} \\
y \left (2\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.494 |
|
| \begin{align*}
y^{\prime }&=\sqrt {x} \\
y \left (4\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.741 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x^{2}} \\
y \left (1\right ) &= 5 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.688 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{\sqrt {2+x}} \\
y \left (2\right ) &= -1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.496 |
|
| \begin{align*}
y^{\prime }&=x \sqrt {x^{2}+9} \\
y \left (-4\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.526 |
|
| \begin{align*}
y^{\prime }&=\frac {10}{x^{2}+1} \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.474 |
|
| \begin{align*}
y^{\prime }&=\cos \left (2 x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.538 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{\sqrt {-x^{2}+1}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| \begin{align*}
y^{\prime }&=x \,{\mathrm e}^{-x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.533 |
|
| \begin{align*}
y^{\prime }&=-x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| \begin{align*}
y^{\prime }&=-x \sin \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.498 |
|
| \begin{align*}
y^{\prime }&=x \ln \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.466 |
|
| \begin{align*}
y^{\prime }&=-x \,{\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| \begin{align*}
y^{\prime }&=x \sin \left (x^{2}\right ) \\
y \left (\frac {\sqrt {2}\, \sqrt {\pi }}{2}\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.025 |
|
| \begin{align*}
y^{\prime }&=\tan \left (x \right ) \\
y \left (\frac {\pi }{4}\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.096 |
|
| \begin{align*}
x^{\prime }&=1-\sin \left (2 t \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.442 |
|
| \begin{align*}
y^{\prime }&=2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.104 |
|
| \begin{align*}
y^{\prime }&=2 \,{\mathrm e}^{3 x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.441 |
|
| \begin{align*}
y^{\prime }&=\frac {2}{\sqrt {-x^{2}+1}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.525 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{x^{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| \begin{align*}
y^{\prime }&=x \,{\mathrm e}^{x^{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.460 |
|
| \begin{align*}
y^{\prime }&=\arcsin \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.439 |
|
| \begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.467 |
|
| \begin{align*}
\sin \left (x \right ) y^{\prime }&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| \begin{align*}
y^{\prime }&=t^{2}+3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.437 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{2 t} t \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.443 |
|
| \begin{align*}
y^{\prime }&=\sin \left (3 t \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.457 |
|
| \begin{align*}
y^{\prime }&=\sin \left (t \right )^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.462 |
|
| \begin{align*}
y^{\prime }&=\frac {t}{t^{2}+4} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| \begin{align*}
y^{\prime }&=\ln \left (t \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.484 |
|
| \begin{align*}
y^{\prime }&=\frac {t}{\sqrt {t}+1} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.535 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{2 t} t \\
y \left (1\right ) &= 5 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.575 |
|
| \begin{align*}
y^{\prime }&=\sin \left (t \right )^{2} \\
y \left (\frac {\pi }{6}\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.589 |
|
| \begin{align*}
y^{\prime }&=8 \,{\mathrm e}^{4 t}+t \\
y \left (0\right ) &= 12 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.595 |
|
| \begin{align*}
y^{\prime }+\frac {m}{x}&=\ln \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.435 |
|
| \begin{align*}
y^{\prime }&=\sin \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x^{{2}/{3}}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.972 |
|
| \begin{align*}
y^{\prime }&=\ln \left (x \right ) x^{2} \\
y \left (1\right ) &= 2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.687 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{-x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.372 |
|
| \begin{align*}
y^{\prime }&=1-x^{5}+\sqrt {x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{x} \sin \left (x \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.806 |
|
| \begin{align*}
y^{\prime }&=x +\frac {1}{x} \\
y \left (-2\right ) &= 5 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.497 |
|
| \begin{align*}
\left (x^{3}+1\right ) y^{\prime }&=3 x^{2} \tan \left (x \right ) \\
y \left (0\right ) &= \frac {\pi }{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.160 |
|
| \begin{align*}
x&=y^{\prime } \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
6.626 |
|
| \begin{align*}
y^{\prime } \left (x -\ln \left (y^{\prime }\right )\right )&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| \begin{align*}
y^{\prime }&=a f \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.296 |
|
| \begin{align*}
y^{\prime } x&=\sqrt {a^{2}-x^{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.618 |
|
| \begin{align*}
y^{\prime } x&=-\sqrt {a^{2}-x^{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.401 |
|
| \begin{align*}
\left (a +x \right ) y^{\prime }&=b x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.393 |
|
| \begin{align*}
y^{\prime } \sqrt {a_{4} x^{4}+a_{3} x^{3}+a_{2} x^{2}+a_{1} x +a_{0}}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.884 |
|
| \begin{align*}
{y^{\prime }}^{2}-\left (2 x +1\right ) y^{\prime }-x \left (1-x \right )&=0 \\
\end{align*} |
[_quadrature] |
✓ |
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✓ |
2.667 |
|
| \begin{align*}
{y^{\prime }}^{2}-2 y^{\prime } \cosh \left (x \right )+1&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.672 |
|
| \begin{align*}
x {y^{\prime }}^{2}&=\left (a -x \right )^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
4.027 |
|
| \begin{align*}
4 x {y^{\prime }}^{2}&=\left (a -3 x \right )^{2} \\
\end{align*} |
[_quadrature] |
✓ |
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✓ |
4.033 |
|
| \begin{align*}
4 x \left (a -x \right ) \left (b -x \right ) {y^{\prime }}^{2}&=\left (a b -2 \left (a +b \right ) x +2 x^{2}\right )^{2} \\
\end{align*} |
[_quadrature] |
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1.428 |
|
| \begin{align*}
x^{2} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}+1&=0 \\
\end{align*} |
[_quadrature] |
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3.475 |
|
| \begin{align*}
{y^{\prime }}^{3}-a x y^{\prime }+x^{3}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
9.068 |
|
| \begin{align*}
{y^{\prime }}^{3}+\left (1-3 x \right ) {y^{\prime }}^{2}-x \left (1-3 x \right ) y^{\prime }-1-x^{3}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
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2.335 |
|
| \begin{align*}
\sqrt {1+{y^{\prime }}^{2}}+a y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
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17.362 |
|
| \begin{align*}
a \cos \left (y^{\prime }\right )+b y^{\prime }+x&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✗ |
0.473 |
|
| \begin{align*}
\sin \left (y^{\prime }\right )+y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
0.455 |
|
| \begin{align*}
\left (1+{y^{\prime }}^{2}\right ) \left (\arctan \left (y^{\prime }\right )+a x \right )+y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
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✗ |
2.240 |
|
| \begin{align*}
\ln \left (y^{\prime }\right )+y^{\prime } x +a&=0 \\
\end{align*} |
[_quadrature] |
✓ |
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✓ |
5.543 |
|
| \begin{align*}
x&=\sqrt {1+{y^{\prime }}^{2}}+a y^{\prime } \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
19.993 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{x^{2}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.142 |
|
| \begin{align*}
y^{\prime } x&=x^{2}+2 x -3 \\
\end{align*} |
[_quadrature] |
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0.797 |
|
| \begin{align*}
x^{2} y^{\prime }&=x^{3} \sin \left (3 x \right )+4 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
1.012 |
|
| \begin{align*}
1-\sqrt {a^{2}-x^{2}}\, y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
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✓ |
1.607 |
|
| \begin{align*}
y^{\prime }&=f \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
0.461 |
|
| \begin{align*}
x {y^{\prime }}^{2}-4 y^{\prime }-12 x^{3}&=0 \\
\end{align*} |
[_quadrature] |
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5.723 |
|
| \begin{align*}
y^{\prime } x&=2 x \\
\end{align*} |
[_quadrature] |
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✓ |
3.253 |
|
| \begin{align*}
y^{\prime }&=2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
1.976 |
|
| \begin{align*}
y^{\prime }&=x \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
33.618 |
|
| \begin{align*}
y^{\prime }&=x \\
y \left (0\right ) &= -3 \\
\end{align*} |
[_quadrature] |
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2.362 |
|
| \begin{align*}
y^{\prime }&=\sin \left (5 x \right ) \\
\end{align*} |
[_quadrature] |
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0.726 |
|
| \begin{align*}
y^{\prime }&=\left (x +1\right )^{2} \\
\end{align*} |
[_quadrature] |
✓ |
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0.639 |
|
| \begin{align*}
1+{\mathrm e}^{3 x} y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
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1.105 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{1+\sin \left (x \right )} \\
\end{align*} |
[_quadrature] |
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✓ |
✓ |
✓ |
0.875 |
|
| \begin{align*}
x^{\prime }+t&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.796 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{3 x}+\sin \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
0.807 |
|
| \begin{align*}
y^{\prime }&=2 x \\
\end{align*} |
[_quadrature] |
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3.887 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{3 x}-x \\
\end{align*} |
[_quadrature] |
✓ |
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0.741 |
|
| \begin{align*}
y^{\prime }&=x \,{\mathrm e}^{x^{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.651 |
|
| \begin{align*}
\left (x +1\right ) y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.760 |
|
| \begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.760 |
|
| \begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=\arctan \left (x \right ) \\
\end{align*} |
[_quadrature] |
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✓ |
0.963 |
|
| \begin{align*}
y^{\prime } x&=1 \\
\end{align*} |
[_quadrature] |
✓ |
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1.083 |
|
| \begin{align*}
y^{\prime }&=\arcsin \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
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✓ |
0.618 |
|
| \begin{align*}
\sin \left (x \right ) y^{\prime }&=1 \\
\end{align*} |
[_quadrature] |
✓ |
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1.607 |
|
| \begin{align*}
\left (x^{3}+1\right ) y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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0.904 |
|
| \begin{align*}
\left (x^{2}-3 x +2\right ) y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
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0.852 |
|
| \begin{align*}
y^{\prime }&=x \,{\mathrm e}^{x} \\
y \left (1\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.838 |
|
| \begin{align*}
y^{\prime }&=2 \cos \left (x \right ) \sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.092 |
|
| \begin{align*}
y^{\prime }&=\ln \left (x \right ) \\
y \left ({\mathrm e}\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.187 |
|
| \begin{align*}
\left (x^{2}-1\right ) y^{\prime }&=1 \\
y \left (2\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.023 |
|
| \begin{align*}
x \left (x^{2}-4\right ) y^{\prime }&=1 \\
y \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.205 |
|
| \begin{align*}
\left (x +1\right ) \left (x^{2}+1\right ) y^{\prime }&=2 x^{2}+x \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.845 |
|
| \begin{align*}
y^{\prime }&=x +1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.665 |
|
| \begin{align*}
y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.970 |
|
| \begin{align*}
y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.366 |
|
| \begin{align*}
y^{\prime }&=1+\frac {\sec \left (x \right )}{x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.027 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.075 |
|
| \begin{align*}
y^{\prime } x&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.764 |
|
| \begin{align*}
\frac {y^{\prime }}{x}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.404 |
|
| \begin{align*}
y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.369 |
|
| \begin{align*}
y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.457 |
|
| \begin{align*}
y^{\prime }&=a \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
4.047 |
|
| \begin{align*}
y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
4.059 |
|
| \begin{align*}
y^{\prime }&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.203 |
|
| \begin{align*}
y^{\prime }&=a x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.358 |
|
| \begin{align*}
c y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.091 |
|
| \begin{align*}
c y^{\prime }&=a \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
5.100 |
|
| \begin{align*}
c y^{\prime }&=a x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
3.858 |
|
| \begin{align*}
y^{\prime } x&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.890 |
|
| \begin{align*}
5 y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.888 |
|
| \begin{align*}
{\mathrm e} y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.914 |
|
| \begin{align*}
\pi y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.898 |
|
| \begin{align*}
\sin \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.348 |
|
| \begin{align*}
f \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.493 |
|
| \begin{align*}
y^{\prime } x&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.177 |
|
| \begin{align*}
y^{\prime } x&=\sin \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.812 |
|
| \begin{align*}
\left (-1+x \right ) y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.892 |
|
| \begin{align*}
x \sin \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.340 |
|
| \begin{align*}
x \sin \left (x \right ) {y^{\prime }}^{2}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.625 |
|
| \begin{align*}
{y^{\prime }}^{n}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
1.887 |
|
| \begin{align*}
x {y^{\prime }}^{n}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
2.926 |
|
| \begin{align*}
y^{\prime }-\frac {1}{\sqrt {\operatorname {a4} \,x^{4}+\operatorname {a3} \,x^{3}+\operatorname {a2} \,x^{2}+\operatorname {a1} x +\operatorname {a0}}}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.166 |
|
| \begin{align*}
y^{\prime } x -\sqrt {a^{2}-x^{2}}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.479 |
|
| \begin{align*}
{y^{\prime }}^{2}+a x y^{\prime }-b \,x^{2}-c&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
27.936 |
|
| \begin{align*}
y^{\prime }-1&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| \begin{align*}
x^{2} \left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}-1&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.006 |
|
| \begin{align*}
{y^{\prime }}^{3}-a x y^{\prime }+x^{3}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
5.401 |
|
| \begin{align*}
\sin \left (y^{\prime }\right )+y^{\prime }-x&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
0.358 |
|
| \begin{align*}
a \cos \left (y^{\prime }\right )+b y^{\prime }+x&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
0.371 |
|
| \begin{align*}
\left (1+{y^{\prime }}^{2}\right ) \left (\arctan \left (y^{\prime }\right )+a x \right )+y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
1.352 |
|
| \begin{align*}
y^{\prime }&=f \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| \begin{align*}
x^{\prime }&=t \cos \left (t^{2}\right ) \\
x \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.491 |
|
| \begin{align*}
x^{\prime }&=\frac {1+t}{\sqrt {t}} \\
x \left (1\right ) &= 4 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.359 |
|
| \begin{align*}
x^{\prime }&=t \,{\mathrm e}^{-2 t} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.618 |
|
| \begin{align*}
x^{\prime }&=\frac {1}{t \ln \left (t \right )} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| \begin{align*}
\sqrt {t}\, x^{\prime }&=\cos \left (\sqrt {t}\right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.054 |
|
| \begin{align*}
x^{\prime }&=\frac {{\mathrm e}^{-t}}{\sqrt {t}} \\
x \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.508 |
|
| \begin{align*}
x^{\prime }&=\sin \left (t \right )+\cos \left (t \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x^{2}-1} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.752 |
|
| \begin{align*}
u^{\prime }&=4 t \ln \left (t \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.921 |
|
| \begin{align*}
z^{\prime }&={\mathrm e}^{-2 x} x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| \begin{align*}
T^{\prime }&={\mathrm e}^{-t} \sin \left (2 t \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.940 |
|
| \begin{align*}
x^{\prime }&=\sec \left (t \right )^{2} \\
x \left (\frac {\pi }{4}\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.462 |
|
| \begin{align*}
y^{\prime }&=x -\frac {1}{3} x^{3} \\
y \left (-1\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.908 |
|
| \begin{align*}
x^{\prime }&=2 \sin \left (t \right )^{2} \\
x \left (\frac {\pi }{4}\right ) &= \frac {\pi }{4} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.910 |
|
| \begin{align*}
x V^{\prime }&=x^{2}+1 \\
V \left (1\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.043 |
|
| \begin{align*}
y^{\prime } x -\sin \left (x \right )&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| \begin{align*}
y^{\prime }&=1-x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| \begin{align*}
y^{\prime }&=-1+x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| \begin{align*}
y^{\prime }&=x^{2}+{\mathrm e}^{x}-\sin \left (x \right ) \\
y \left (2\right ) &= -1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.979 |
|
| \begin{align*}
y^{\prime }&=1+3 x \\
y \left (1\right ) &= 2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.800 |
|
| \begin{align*}
y^{\prime }&=x +\frac {1}{x} \\
y \left (1\right ) &= 2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.865 |
|
| \begin{align*}
y^{\prime }&=2 \sin \left (x \right ) \\
y \left (\pi \right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.824 |
|
| \begin{align*}
y^{\prime }&=x \sin \left (x \right ) \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.918 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{-1+x} \\
y \left (2\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.842 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{-1+x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.042 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x^{2}-1} \\
y \left (2\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.091 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x^{2}-1} \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.173 |
|
| \begin{align*}
y^{\prime }&=\tan \left (x \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.148 |
|
| \begin{align*}
y^{\prime }&=\tan \left (x \right ) \\
y \left (\pi \right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.225 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{-1+x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.997 |
|
| \begin{align*}
y^{\prime }&=t^{2}+t \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.869 |
|
| \begin{align*}
y^{\prime }&=t^{2}+1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| \begin{align*}
y^{\prime }&=-t^{2}+2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.928 |
|
| \begin{align*}
y^{\prime }&=t^{2}-2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| \begin{align*}
\theta ^{\prime }&=2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
3.073 |
|
| \begin{align*}
y^{\prime }&=t^{2} \left (t^{2}+1\right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| \begin{align*}
y^{\prime }&=3-\sin \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.050 |
|
| \begin{align*}
y^{\prime }&=4 x^{3} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
4.280 |
|
| \begin{align*}
y^{\prime }&=20 \,{\mathrm e}^{-4 x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.755 |
|
| \begin{align*}
y^{\prime } x +\sqrt {x}&=2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.131 |
|
| \begin{align*}
\sqrt {x +4}\, y^{\prime }&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.253 |
|
| \begin{align*}
y^{\prime }&=x \cos \left (x^{2}\right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.112 |
|
| \begin{align*}
y^{\prime }&=\cos \left (x \right ) x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.868 |
|
| \begin{align*}
x&=\left (x^{2}-9\right ) y^{\prime } \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.149 |
|
| \begin{align*}
1&=\left (x^{2}-9\right ) y^{\prime } \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.046 |
|
| \begin{align*}
1&=x^{2}-9 y^{\prime } \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.865 |
|
| \begin{align*}
y^{\prime }&=40 x \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 4 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.292 |
|
| \begin{align*}
\left (6+x \right )^{{1}/{3}} y^{\prime }&=1 \\
y \left (2\right ) &= 10 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.012 |
|
| \begin{align*}
y^{\prime }&=\frac {-1+x}{x +1} \\
y \left (0\right ) &= 8 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.244 |
|
| \begin{align*}
y^{\prime } x +2&=\sqrt {x} \\
y \left (1\right ) &= 6 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.794 |
|
| \begin{align*}
\cos \left (x \right ) y^{\prime }-\sin \left (x \right )&=0 \\
y \left (0\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
3.135 |
|
| \begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=1 \\
y \left (0\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.333 |
|
| \begin{align*}
y^{\prime }&=\sin \left (\frac {x}{2}\right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.726 |
|
| \begin{align*}
y^{\prime }&=\sin \left (\frac {x}{2}\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.019 |
|
| \begin{align*}
y^{\prime }&=\sin \left (\frac {x}{2}\right ) \\
y \left (0\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.993 |
|
| \begin{align*}
y^{\prime }&=3 \sqrt {x +3} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.759 |
|
| \begin{align*}
y^{\prime }&=3 \sqrt {x +3} \\
y \left (1\right ) &= 16 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.558 |
|
| \begin{align*}
y^{\prime }&=3 \sqrt {x +3} \\
y \left (1\right ) &= 20 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.503 |
|
| \begin{align*}
y^{\prime }&=3 \sqrt {x +3} \\
y \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.500 |
|
| \begin{align*}
y^{\prime }&=x \,{\mathrm e}^{-x^{2}} \\
y \left (0\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.062 |
|
| \begin{align*}
y^{\prime }&=\frac {x}{\sqrt {x^{2}+5}} \\
y \left (2\right ) &= 7 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.012 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x^{2}+1} \\
y \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.826 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{-9 x^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
226.372 |
|
| \begin{align*}
y^{\prime } x&=\sin \left (x \right ) \\
y \left (0\right ) &= 4 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.301 |
|
| \begin{align*}
y^{\prime } x&=\sin \left (x^{2}\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.334 |
|
| \begin{align*}
y^{\prime }&=\left \{\begin {array}{cc} 0 & x <0 \\ 1 & 0\le x \end {array}\right . \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.023 |
|
| \begin{align*}
y^{\prime }&=\left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x \end {array}\right . \\
y \left (0\right ) &= 2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.937 |
|
| \begin{align*}
y^{\prime }&=\left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x <2 \\ 0 & 2\le x \end {array}\right . \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| \begin{align*}
y^{\prime }&=\sqrt {x^{2}+1} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.917 |
|
| \begin{align*}
y^{\prime }-{\mathrm e}^{2 x}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.788 |
|
| \begin{align*}
x^{2} y^{\prime }-\sqrt {x}&=3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.139 |
|
| \begin{align*}
\left (x^{2}-4\right ) y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.053 |
|
| \begin{align*}
\sin \left (x \right )+2 \cos \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.524 |
|
| \begin{align*}
\left (2+x \right ) y^{\prime }-x^{3}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.083 |
|
| \begin{align*}
y^{\prime }+2 x&=\sin \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.833 |
|
| \begin{align*}
2 x -1-y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.435 |
|
| \begin{align*}
y^{\prime }&=\left (x^{2}-1\right ) \left (x^{3}-3 x \right )^{3} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.805 |
|
| \begin{align*}
y^{\prime }&=x \sin \left (x^{2}\right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.711 |
|
| \begin{align*}
y^{\prime }&=\frac {x}{\sqrt {x^{2}-16}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.465 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x \ln \left (x \right )} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.512 |
|
| \begin{align*}
y^{\prime }&=x \ln \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.432 |
|
| \begin{align*}
y^{\prime }&=x \,{\mathrm e}^{-x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.444 |
|
| \begin{align*}
y^{\prime }&=\frac {-2 x -10}{\left (2+x \right ) \left (x -4\right )} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| \begin{align*}
y^{\prime }&=\frac {-x^{2}+x}{\left (x +1\right ) \left (x^{2}+1\right )} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.578 |
|
| \begin{align*}
y^{\prime }&=\frac {\sqrt {x^{2}-16}}{x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.559 |
|
| \begin{align*}
y^{\prime }&=\left (-x^{2}+4\right )^{{3}/{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x^{2}-16} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.484 |
|
| \begin{align*}
y^{\prime }&=\cos \left (x \right ) \cot \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.106 |
|
| \begin{align*}
y^{\prime }&=\sin \left (x \right )^{3} \tan \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.986 |
|
| \begin{align*}
y^{\prime }&=4 x^{3}-x +2 \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.583 |
|
| \begin{align*}
y^{\prime }&=\sin \left (2 t \right )-\cos \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.726 |
|
| \begin{align*}
y^{\prime }&=\frac {\cos \left (\frac {1}{x}\right )}{x^{2}} \\
y \left (\frac {2}{\pi }\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.707 |
|
| \begin{align*}
y^{\prime }&=\frac {\ln \left (x \right )}{x} \\
y \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.562 |
|
| \begin{align*}
y^{\prime }&=\sin \left (x \right )^{4} \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.691 |
|
| \begin{align*}
y^{\prime }&=x \,{\mathrm e}^{-x^{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.408 |
|
| \begin{align*}
y^{\prime }&=x^{2} \sin \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.615 |
|
| \begin{align*}
y^{\prime }&=\frac {2 x^{2}-x +1}{\left (-1+x \right ) \left (x^{2}+1\right )} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| \begin{align*}
y^{\prime }&=\frac {x^{2}}{\sqrt {x^{2}-1}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| \begin{align*}
y^{\prime }&=\cos \left (x \right )^{2} \sin \left (x \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.615 |
|
| \begin{align*}
y^{\prime }&=\frac {4 x -9}{3 \left (x -3\right )^{{2}/{3}}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{t^{2}+1} \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.628 |
|
| \begin{align*}
y^{\prime }&=x^{3} \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
3.756 |
|
| \begin{align*}
y^{\prime }&=\cos \left (t \right ) \\
y \left (\frac {\pi }{2}\right ) &= -1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.622 |
|
| \begin{align*}
\sin \left (y \right )^{2}&=x^{\prime } \\
x \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.673 |
|
| \begin{align*}
y^{\prime }&=t \sin \left (t^{2}\right ) \\
y \left (\sqrt {\pi }\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.128 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x^{2}+1} \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| \begin{align*}
3 t^{2}-y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.803 |
|
| \begin{align*}
y^{\prime }&=x +1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.387 |
|
| \begin{align*}
y^{\prime }&=1-x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.388 |
|
| \begin{align*}
y^{\prime }&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.785 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.613 |
|
| \begin{align*}
\cos \left (y^{\prime }\right )&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| \begin{align*}
{\mathrm e}^{y^{\prime }}&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.568 |
|
| \begin{align*}
\sin \left (y^{\prime }\right )&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.381 |
|
| \begin{align*}
\ln \left (y^{\prime }\right )&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| \begin{align*}
\tan \left (y^{\prime }\right )&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.610 |
|
| \begin{align*}
{\mathrm e}^{y^{\prime }}&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.310 |
|
| \begin{align*}
\tan \left (y^{\prime }\right )&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.342 |
|
| \begin{align*}
x&=\ln \left (y^{\prime }\right )+\sin \left (y^{\prime }\right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
5.862 |
|
| \begin{align*}
x&=\sin \left (y^{\prime }\right )+y^{\prime } \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
0.411 |
|
| \begin{align*}
x^{2}+y^{\prime } x&=3 x +y^{\prime } \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| \begin{align*}
y^{\prime } x&=-\frac {1}{\ln \left (x \right )} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.845 |
|
| \begin{align*}
y^{\prime }&=2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.576 |
|
| \begin{align*}
y^{\prime }&=-x^{3} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.708 |
|
| \begin{align*}
y^{\prime }&=2 x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.914 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{3 x}-x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.645 |
|
| \begin{align*}
y^{\prime } x&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| \begin{align*}
y^{\prime }&=x \,{\mathrm e}^{x^{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| \begin{align*}
y^{\prime }&=\arcsin \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.567 |
|
| \begin{align*}
\left (x +1\right ) y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.691 |
|
| \begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| \begin{align*}
\left (x^{3}+1\right ) y^{\prime }&=x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.906 |
|
| \begin{align*}
\left (x^{2}+1\right ) y^{\prime }&=\arctan \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.767 |
|
| \begin{align*}
\sin \left (x \right ) y^{\prime }&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.110 |
|
| \begin{align*}
y^{\prime }&=x \,{\mathrm e}^{x} \\
y \left (1\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.790 |
|
| \begin{align*}
y^{\prime }&=2 \cos \left (x \right ) \sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.878 |
|
| \begin{align*}
y^{\prime }&=\ln \left (x \right ) \\
y \left ({\mathrm e}\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.860 |
|
| \begin{align*}
\left (x^{2}-1\right ) y^{\prime }&=1 \\
y \left (2\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.931 |
|
| \begin{align*}
x \left (x^{2}-4\right ) y^{\prime }&=1 \\
y \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.905 |
|
| \begin{align*}
\left (x +1\right ) \left (x^{2}+1\right ) y^{\prime }&=2 x^{2}+x \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.126 |
|
| \begin{align*}
y^{\prime } x&=2 x^{2}+1 \\
y \left (1\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.853 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{x} \cos \left (x \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.069 |
|
| \begin{align*}
x^{\prime }&=3 t^{2}+4 t \\
x \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.901 |
|
| \begin{align*}
x^{\prime }&=b \,{\mathrm e}^{t} \\
x \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.569 |
|
| \begin{align*}
x^{\prime }&=\frac {1}{t^{2}+1} \\
x \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.736 |
|
| \begin{align*}
x^{\prime }&=\frac {1}{\sqrt {t^{2}+1}} \\
x \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.839 |
|
| \begin{align*}
x^{\prime }&=\cos \left (t \right ) \\
x \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| \begin{align*}
x^{\prime }&=\frac {\cos \left (t \right )}{\sin \left (t \right )} \\
x \left (1\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.839 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{z -y^{\prime }} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.573 |
|
| \begin{align*}
\sec \left (\theta \right )^{2}&=\frac {m s^{\prime }}{k} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.576 |
|
| \begin{align*}
\sqrt {1+v^{\prime }}&=\frac {{\mathrm e}^{u}}{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.112 |
|
| \begin{align*}
x +\frac {y^{\prime }}{\sqrt {1+{y^{\prime }}^{2}}}&=a \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
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2.691 |
|
| \begin{align*}
x {y^{\prime }}^{2}-\left (x -a \right )^{2}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
4.865 |
|
| \begin{align*}
4 x \left (-1+x \right ) \left (x -2\right ) {y^{\prime }}^{2}-\left (3 x^{2}-6 x +2\right )^{2}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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4.681 |
|
| \begin{align*}
{y^{\prime }}^{2}-2 y^{\prime } \cosh \left (x \right )+1&=0 \\
\end{align*} |
[_quadrature] |
✓ |
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2.175 |
|
| \begin{align*}
x +\frac {y^{\prime }}{\sqrt {1+{y^{\prime }}^{2}}}&=a \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
3.056 |
|
| \begin{align*}
4 x \left (-1+x \right ) \left (x -2\right ) {y^{\prime }}^{2}-\left (3 x^{2}-6 x +2\right )^{2}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
5.095 |
|
| \begin{align*}
\left (8 {y^{\prime }}^{3}-27\right ) x&=\frac {12 {y^{\prime }}^{2}}{x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✗ |
27.116 |
|
| \begin{align*}
x {y^{\prime }}^{2}-\left (x -a \right )^{2}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
5.213 |
|
| \begin{align*}
y^{\prime }&=\tan \left (x -\frac {y^{\prime }}{1+{y^{\prime }}^{2}}\right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✗ |
✗ |
2.792 |
|
| \begin{align*}
4 x {y^{\prime }}^{2}&=\left (3 x -a \right )^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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5.432 |
|
| \begin{align*}
4 {y^{\prime }}^{2} x \left (x -a \right ) \left (x -b \right )&=\left (3 x^{2}-2 \left (a +b \right ) x +a b \right )^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.208 |
|
| \begin{align*}
\sqrt {x}\, y^{\prime }+1&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
5.852 |
|
| \begin{align*}
y^{\prime }&=2 x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
2.454 |
|
| \begin{align*}
\frac {\ln \left (1+{y^{\prime }}^{2}\right )}{2}-\ln \left (y^{\prime }\right )-x +2&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
21.845 |
|
| \begin{align*}
x^{3} y^{\prime }-x^{3}&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.885 |
|
| \begin{align*}
y^{\prime }&=5 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.695 |
|
| \begin{align*}
y^{\prime }+\frac {1}{x}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.277 |
|
| \begin{align*}
y^{\prime }&=\cos \left (x \right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.717 |
|
| \begin{align*}
y^{\prime }&=3 \sin \left (x \right ) \\
y \left (\pi \right ) &= -1 \\
\end{align*} |
[_quadrature] |
✓ |
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1.338 |
|
| \begin{align*}
x^{\prime }&=4 \,{\mathrm e}^{-t}-2 \\
x \left (0\right ) &= 3 \\
\end{align*} |
[_quadrature] |
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1.313 |
|
| \begin{align*}
s^{\prime }&=9 \sqrt {u} \\
s \left (4\right ) &= 16 \\
\end{align*} |
[_quadrature] |
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3.784 |
|
| \begin{align*}
y^{\prime }&=-\frac {4}{x^{2}} \\
y \left (1\right ) &= 2 \\
\end{align*} |
[_quadrature] |
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2.464 |
|
| \begin{align*}
y^{\prime }&=2 x \\
\end{align*} |
[_quadrature] |
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3.836 |
|
| \begin{align*}
\left (x^{2}+x \right ) y^{\prime }+2 x +1+2 \cos \left (x \right )&=0 \\
\end{align*} |
[_quadrature] |
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1.315 |
|
| \begin{align*}
y^{\prime }+2 x&=2 \\
\end{align*} |
[_quadrature] |
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0.872 |
|
| \begin{align*}
r^{\prime }&=-a \sin \left (\theta \right ) \\
r \left (0\right ) &= 2 a \\
\end{align*} |
[_quadrature] |
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1.729 |
|
| \begin{align*}
\sin \left (\theta \right )^{2} r^{\prime }&=-b \cos \left (\theta \right ) \\
\end{align*} |
[_quadrature] |
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1.518 |
|
| \begin{align*}
r^{\prime }&=0 \\
r \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
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1.964 |
|
| \begin{align*}
r^{\prime }&=c \\
r \left (0\right ) &= a \\
\end{align*} |
[_quadrature] |
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6.730 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{2 x} \\
\end{align*} |
[_quadrature] |
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0.727 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{t^{2}} \\
\end{align*} |
[_quadrature] |
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3.109 |
|
| \begin{align*}
y^{\prime }&=\cos \left (t \right )^{2} \\
\end{align*} |
[_quadrature] |
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0.923 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{t^{2}-1} \\
\end{align*} |
[_quadrature] |
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0.977 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{t} t \\
\end{align*} |
[_quadrature] |
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0.881 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{\sqrt {t^{2}+2 t}} \\
\end{align*} |
[_quadrature] |
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1.645 |
|
| \begin{align*}
y^{\prime }&=t \ln \left (t \right ) \\
\end{align*} |
[_quadrature] |
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1.516 |
|
| \begin{align*}
y^{\prime }&=\frac {t^{2}+1}{t \left (-2+t \right )} \\
\end{align*} |
[_quadrature] |
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1.034 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{\sqrt {-x^{2}+1}} \\
\end{align*} |
[_quadrature] |
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1.013 |
|
| \begin{align*}
x -\sqrt {a^{2}-x^{2}}\, y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
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3.296 |
|
| \begin{align*}
x +\sqrt {a^{2}-x^{2}}\, y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
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1.997 |
|
| \begin{align*}
a^{2}-x y^{\prime } \sqrt {-a^{2}+x^{2}}&=0 \\
\end{align*} |
[_quadrature] |
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2.308 |
|
| \begin{align*}
\left (a +x \right ) y^{\prime }&=b x \\
\end{align*} |
[_quadrature] |
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0.776 |
|
| \begin{align*}
y^{\prime }&=t +3 \\
\end{align*} |
[_quadrature] |
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0.935 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{2 t}-1 \\
\end{align*} |
[_quadrature] |
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0.934 |
|
| \begin{align*}
y^{\prime }&=t \,{\mathrm e}^{-t} \\
\end{align*} |
[_quadrature] |
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0.967 |
|
| \begin{align*}
y^{\prime }&=\frac {1+t}{t} \\
\end{align*} |
[_quadrature] |
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0.973 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{2 t}-1 \\
y \left (0\right ) &= 4 \\
\end{align*} |
[_quadrature] |
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1.491 |
|
| \begin{align*}
y^{\prime }&=t \,{\mathrm e}^{-t} \\
y \left (0\right ) &= -1 \\
\end{align*} |
[_quadrature] |
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1.514 |
|
| \begin{align*}
y^{\prime }&=t \\
\end{align*} |
[_quadrature] |
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8.027 |
|
| \begin{align*}
y^{\prime }&=t^{2}+1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
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1.994 |
|
| \begin{align*}
y^{\prime }&=5 \\
y \left (0\right ) &= 2 \\
\end{align*} |
[_quadrature] |
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10.341 |
|
| \begin{align*}
y^{\prime }&=\operatorname {Heaviside}\left (t -T \right ) \\
y \left (0\right ) &= 2 \\
\end{align*} |
[_quadrature] |
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9.727 |
|
| \begin{align*}
y^{\prime }&=\operatorname {Heaviside}\left (t -1\right )+\operatorname {Heaviside}\left (-2+t \right )+\operatorname {Heaviside}\left (t -3\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
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5.895 |
|
| \begin{align*}
y^{\prime }&=\operatorname {Heaviside}\left (t -1\right )+\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
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4.826 |
|
| \begin{align*}
y^{\prime }&=A \cos \left (\omega t \right )+B \sin \left (\omega t \right ) \\
\end{align*} |
[_quadrature] |
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1.135 |
|
| \begin{align*}
y^{\prime }&=2 \,{\mathrm e}^{2 t}-4 \,{\mathrm e}^{t} \\
\end{align*} |
[_quadrature] |
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2.052 |
|
| \begin{align*}
y^{\prime }&=x \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
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86.819 |
|
| \begin{align*}
y^{\prime }&=x \\
y \left (0\right ) &= -3 \\
\end{align*} |
[_quadrature] |
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5.136 |
|
| \begin{align*}
y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
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3.122 |
|
| \begin{align*}
y^{\prime }&=\sin \left (5 x \right ) \\
\end{align*} |
[_quadrature] |
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1.159 |
|
| \begin{align*}
y^{\prime }&=\left (x +1\right )^{2} \\
\end{align*} |
[_quadrature] |
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1.185 |
|
| \begin{align*}
1+{\mathrm e}^{3 x} y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
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2.346 |
|
| \begin{align*}
y^{\prime }&=2 x \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
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5.194 |
|
| \begin{align*}
y^{\prime }&=1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
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9.944 |
|
| \begin{align*}
x^{\prime }&=2 \\
x \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
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83.802 |
|
| \begin{align*}
y^{\prime } \ln \left (\frac {y^{\prime }}{4}\right )&=4 x \\
\end{align*} |
[_quadrature] |
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11.908 |
|
| \begin{align*}
x&=\ln \left (y^{\prime }\right )+\sin \left (y^{\prime }\right ) \\
\end{align*} |
[_quadrature] |
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✗ |
88.930 |
|
| \begin{align*}
x&=y^{\prime }+\arcsin \left (y^{\prime }\right ) \\
\end{align*} |
[_quadrature] |
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✗ |
3.449 |
|
| \begin{align*}
{y^{\prime }}^{2}+{\mathrm e}^{y^{\prime }}&=x \\
\end{align*} |
[_quadrature] |
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✗ |
1.947 |
|
| \begin{align*}
y^{\prime }&=x +1 \\
\end{align*} |
[_quadrature] |
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0.973 |
|
| \begin{align*}
y^{\prime }&=1-x \\
\end{align*} |
[_quadrature] |
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0.989 |
|
| \begin{align*}
\cos \left (y^{\prime }\right )&=0 \\
\end{align*} |
[_quadrature] |
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7.983 |
|
| \begin{align*}
{\mathrm e}^{y^{\prime }}&=1 \\
\end{align*} |
[_quadrature] |
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4.171 |
|
| \begin{align*}
\sin \left (y^{\prime }\right )&=x \\
\end{align*} |
[_quadrature] |
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3.575 |
|
| \begin{align*}
\ln \left (y^{\prime }\right )&=x \\
\end{align*} |
[_quadrature] |
✓ |
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10.467 |
|
| \begin{align*}
\tan \left (y^{\prime }\right )&=0 \\
\end{align*} |
[_quadrature] |
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4.242 |
|
| \begin{align*}
{\mathrm e}^{y^{\prime }}&=x \\
\end{align*} |
[_quadrature] |
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2.369 |
|
| \begin{align*}
\tan \left (y^{\prime }\right )&=x \\
\end{align*} |
[_quadrature] |
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1.974 |
|
| \begin{align*}
x&=\ln \left (y^{\prime }\right )+\sin \left (y^{\prime }\right ) \\
\end{align*} |
[_quadrature] |
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✗ |
88.978 |
|
| \begin{align*}
x&=\sin \left (y^{\prime }\right )+y^{\prime } \\
\end{align*} |
[_quadrature] |
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✗ |
1.494 |
|
| \begin{align*}
x^{2}+y^{\prime } x&=3 x +y^{\prime } \\
\end{align*} |
[_quadrature] |
✓ |
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1.310 |
|
| \begin{align*}
x^{\prime }&=t +2 \\
x \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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✓ |
2.063 |
|
| \begin{align*}
y^{\prime }&=2 x^{2} \\
y \left (1\right ) &= 3 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
9.937 |
|
| \begin{align*}
y^{\prime }&=\cos \left (x \right ) \\
y \left (\pi \right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
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1.396 |
|
| \begin{align*}
x&=y^{\prime } \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
[_quadrature] |
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73.030 |
|
| \begin{align*}
y^{\prime } \left (x -\ln \left (y^{\prime }\right )\right )&=1 \\
\end{align*} |
[_quadrature] |
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19.090 |
|
| \begin{align*}
2 y^{\prime }&=x +\ln \left (y^{\prime }\right ) \\
\end{align*} |
[_quadrature] |
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27.718 |
|