| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 21101 |
\begin{align*}
\frac {x}{\sqrt {x^{2}+y^{2}}}+\frac {1}{x}+\frac {1}{y}+\left (\frac {y}{\sqrt {x^{2}+y^{2}}}+\frac {1}{y}-\frac {x}{y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
11.206 |
|
| 21102 |
\begin{align*}
y^{\prime }&=\frac {-4 \cos \left (x \right ) x +4 x^{2} \sin \left (x \right )+4 x +4+4 y^{2}+8 y \cos \left (x \right ) x -8 y x +2 x^{2} \cos \left (2 x \right )+6 x^{2}-8 x^{2} \cos \left (x \right )+4 y^{3}+12 y^{2} \cos \left (x \right ) x -12 x y^{2}+6 y x^{2} \cos \left (2 x \right )+18 x^{2} y-24 y \cos \left (x \right ) x^{2}+x^{3} \cos \left (3 x \right )+15 x^{3} \cos \left (x \right )-6 x^{3} \cos \left (2 x \right )-10 x^{3}}{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.207 |
|
| 21103 |
\begin{align*}
y^{\prime }-x^{a -1} y^{1-b} f \left (\frac {x^{a}}{a}+\frac {y^{b}}{b}\right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.213 |
|
| 21104 |
\begin{align*}
2 x y \cos \left (x^{2}\right )-2 y x +1+\left (\sin \left (x^{2}\right )-x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.213 |
|
| 21105 |
\begin{align*}
y^{\prime }&=3 y^{{2}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.217 |
|
| 21106 |
\begin{align*}
\left (x^{2}-y^{2}\right ) y^{\prime }&=2 y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.230 |
|
| 21107 |
\begin{align*}
x^{2}+y^{2}+2 y y^{\prime }&=0 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.237 |
|
| 21108 |
\begin{align*}
y^{\prime }&=-\frac {y \left (-\ln \left (\frac {1}{x}\right )+{\mathrm e}^{x}+y \ln \left (x \right ) x^{2}+x^{3} y-x \ln \left (x \right )-x^{2}\right )}{\left (-\ln \left (\frac {1}{x}\right )+{\mathrm e}^{x}\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.239 |
|
| 21109 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&=2 \,{\mathrm e}^{2 x} \sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.244 |
|
| 21110 |
\begin{align*}
y^{\prime }&=x^{2}-2 y x +y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.248 |
|
| 21111 |
\begin{align*}
{y^{\prime }}^{4}+y^{2}&=y^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.249 |
|
| 21112 |
\begin{align*}
L i^{\prime }+R i&=e \sin \left (w t \right ) \\
i \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.250 |
|
| 21113 |
\begin{align*}
y^{\prime } x +y^{3}+3 x y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.253 |
|
| 21114 |
\begin{align*}
y^{\prime }&=-\frac {i \left (16 i x^{2}+16 y^{4}+8 y^{2} x^{4}+x^{8}\right ) x}{32 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.253 |
|
| 21115 |
\begin{align*}
y^{\prime }+q \left (x \right ) y&=0 \\
y \left (\textit {x\_0} \right ) &= y_{0} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.253 |
|
| 21116 |
\begin{align*}
y^{\prime }+2 y x&=\left \{\begin {array}{cc} x & 0\le x <1 \\ 0 & 1\le x \end {array}\right . \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.254 |
|
| 21117 |
\begin{align*}
y y^{\prime } x&=-1+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.260 |
|
| 21118 |
\begin{align*}
\left (t -1\right ) y^{\prime \prime }-y^{\prime } t +y&=2 t \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.260 |
|
| 21119 |
\begin{align*}
y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y&=\cos \left (2 x \right ) \\
y \left (0\right ) &= {\frac {1}{25}} \\
y \left (\pi \right ) &= {\frac {1}{25}} \\
y^{\prime }\left (0\right ) &= {\frac {2}{15}} \\
y^{\prime }\left (\pi \right ) &= {\frac {2}{25}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.260 |
|
| 21120 |
\begin{align*}
y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.262 |
|
| 21121 |
\begin{align*}
y^{\prime \prime }+\left (1-\frac {1}{x}\right ) y^{\prime }+4 x^{2} y \,{\mathrm e}^{-2 x}&=4 \left (x^{3}+x^{2}\right ) {\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.264 |
|
| 21122 |
\begin{align*}
{\mathrm e}^{y}-{\mathrm e}^{-x} y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.270 |
|
| 21123 |
\begin{align*}
y^{\prime }&=2 t y^{2}+3 t^{2} y^{2} \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.271 |
|
| 21124 |
\begin{align*}
y^{\prime \prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.273 |
|
| 21125 |
\begin{align*}
y^{\prime }+x +x y^{2}&=0 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
11.276 |
|
| 21126 |
\begin{align*}
y x +\left (x^{2}+y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.278 |
|
| 21127 |
\begin{align*}
y^{\prime }&=-\frac {i \left (54 i x^{2}+81 y^{4}+18 y^{2} x^{4}+x^{8}\right ) x}{243 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.282 |
|
| 21128 |
\begin{align*}
y^{\prime }&=\frac {y^{2} \left (-2 y+2 x^{2}+2 x^{2} y+x^{4} y\right )}{x^{3} \left (x^{2}-y+x^{2} y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.282 |
|
| 21129 |
\begin{align*}
y^{\prime }&=\frac {y^{3}-3 x y^{2}+3 x^{2} y-x^{3}+x^{2}}{\left (-1+x \right ) \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.283 |
|
| 21130 |
\begin{align*}
y^{\prime \prime }+16 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.283 |
|
| 21131 |
\begin{align*}
y^{\prime }&=\frac {2 y}{x}-\sqrt {3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.289 |
|
| 21132 |
\begin{align*}
s^{\prime \prime }&=-9 s \\
s \left (0\right ) &= 9 \\
s^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.289 |
|
| 21133 |
\begin{align*}
2 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.292 |
|
| 21134 |
\begin{align*}
\frac {x +y y^{\prime }}{\sqrt {1+x^{2}+y^{2}}}+\frac {-y^{\prime } x +y}{x^{2}+y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.292 |
|
| 21135 |
\begin{align*}
\left (t -1\right ) y^{\prime \prime }-y^{\prime } t +y&=2 t \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.292 |
|
| 21136 |
\begin{align*}
y \left (x +y^{2}\right )+x \left (x -y^{2}\right ) y^{\prime }&=0 \\
y \left (2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
11.294 |
|
| 21137 |
\begin{align*}
y^{\prime }&=\frac {x y}{1-y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.298 |
|
| 21138 |
\begin{align*}
\cos \left (y\right ) \sin \left (x \right )+\cos \left (x \right ) \sin \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.300 |
|
| 21139 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }+y^{\prime }+5 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
11.301 |
|
| 21140 |
\begin{align*}
x^{2} y^{\prime \prime }-4 y^{\prime } x +6 y&=0 \\
y \left (0\right ) &= 0 \\
y \left (2\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.302 |
|
| 21141 |
\begin{align*}
y^{3}+4 \,{\mathrm e}^{x} y+\left (2 \,{\mathrm e}^{x}+3 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.309 |
|
| 21142 |
\begin{align*}
y^{\prime }&=y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.314 |
|
| 21143 |
\begin{align*}
{y^{\prime }}^{3}+y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.315 |
|
| 21144 |
\begin{align*}
y^{\prime }&=\frac {150 x^{3}+125 \sqrt {x}+125+125 y^{2}-100 x^{3} y-500 \sqrt {x}\, y+20 x^{6}+200 x^{{7}/{2}}+500 x +125 y^{3}-150 x^{3} y^{2}-750 y^{2} \sqrt {x}+60 x^{6} y+600 x^{{7}/{2}} y+1500 y x -8 x^{9}-120 x^{{13}/{2}}-600 x^{4}-1000 x^{{3}/{2}}}{125 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.317 |
|
| 21145 |
\begin{align*}
y-\frac {1}{\sqrt {1+{y^{\prime }}^{2}}}&=b \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.317 |
|
| 21146 |
\begin{align*}
{y^{\prime }}^{2}&=\frac {1}{x^{2} y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.318 |
|
| 21147 |
\begin{align*}
y^{2} y^{\prime } x -y^{3}&=\frac {x^{4}}{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.323 |
|
| 21148 |
\begin{align*}
y-x +x y \cot \left (x \right )+y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.325 |
|
| 21149 |
\begin{align*}
y^{\prime } x -y^{2}+\left (2 x +1\right ) y&=x^{2}+2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.326 |
|
| 21150 |
\begin{align*}
y^{2}-\left (y x +x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.329 |
|
| 21151 |
\begin{align*}
y \ln \left (y^{\prime }\right )+y^{\prime }-y \ln \left (y\right )-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.330 |
|
| 21152 |
\begin{align*}
y^{\prime }&=t y \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.330 |
|
| 21153 |
\begin{align*}
y&=y^{\prime } x +{y^{\prime }}^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.334 |
|
| 21154 |
\begin{align*}
x^{2} y^{\prime }&=y \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.336 |
|
| 21155 |
\begin{align*}
y^{3} y^{\prime \prime }&=4 y^{4}-4 \\
y \left (0\right ) &= \sqrt {2} \\
y^{\prime }\left (0\right ) &= \sqrt {2} \\
\end{align*} |
✓ |
✗ |
✓ |
✓ |
11.336 |
|
| 21156 |
\begin{align*}
\left (1-y^{2} x^{2}\right ) y^{\prime }&=x y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.339 |
|
| 21157 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime }-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.339 |
|
| 21158 |
\begin{align*}
m y^{\prime \prime }+b y^{\prime }+k y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.339 |
|
| 21159 |
\begin{align*}
y^{\prime }-y&=2 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.342 |
|
| 21160 |
\begin{align*}
a y^{2} y^{\prime \prime }+b y^{2}&=c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.348 |
|
| 21161 |
\begin{align*}
y^{\prime }&=10+{\mathrm e}^{x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.350 |
|
| 21162 |
\begin{align*}
y^{\prime }+2 y&=\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.352 |
|
| 21163 |
\begin{align*}
x^{2} y^{\prime }&=a \,x^{2} y^{2}+b x y+c \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.353 |
|
| 21164 |
\begin{align*}
y^{\prime \prime } x -5 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
11.358 |
|
| 21165 |
\begin{align*}
\left (x +y\right ) y^{\prime }-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.360 |
|
| 21166 |
\begin{align*}
y^{\prime }&=\frac {x y^{2}+x}{4 y} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.362 |
|
| 21167 |
\begin{align*}
y^{\prime }&=\frac {x +y^{2}}{2 y} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.365 |
|
| 21168 |
\begin{align*}
y^{\prime }-a y&=A \cos \left (\omega t \right )+B \sin \left (\omega t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.368 |
|
| 21169 |
\begin{align*}
y^{\prime }&=\cos \left (x \right )-y \sec \left (x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.373 |
|
| 21170 |
\begin{align*}
y+1-y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.375 |
|
| 21171 |
\begin{align*}
y^{\prime } \sqrt {a_{4} x^{4}+a_{3} x^{3}+a_{2} x^{2}+a_{1} x +a_{0}}&=\sqrt {b_{0} +b_{1} y+b_{2} y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.376 |
|
| 21172 |
\begin{align*}
3 x^{2}+y+\left (x^{2} y-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.382 |
|
| 21173 |
\begin{align*}
y^{\prime }&=\frac {\sin \left (x \right ) \sin \left (y\right )}{\cos \left (x \right ) \cos \left (y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.383 |
|
| 21174 |
\begin{align*}
y^{2} y^{\prime } x&=x^{3}+y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.384 |
|
| 21175 |
\begin{align*}
y^{\prime }&=2 x^{2} \sin \left (\frac {y}{x}\right )^{2}+\frac {y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.385 |
|
| 21176 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-y^{\prime } x -c^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.388 |
|
| 21177 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\left \{\begin {array}{cc} 0 & 0\le x <1 \\ x^{2}-2 x +3 & 1\le x \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
11.391 |
|
| 21178 |
\begin{align*}
y^{\prime \prime } x +y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
11.392 |
|
| 21179 |
\begin{align*}
x^{\prime }&=\frac {t^{2}}{x+t^{3} x} \\
x \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.394 |
|
| 21180 |
\begin{align*}
\left (t -1\right ) y^{\prime \prime }-y^{\prime } t +y&=2 t \,{\mathrm e}^{-t} \\
y \left (0\right ) &= a \\
y^{\prime }\left (0\right ) &= b \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.396 |
|
| 21181 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=\ln \left (x \right ) x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.400 |
|
| 21182 |
\begin{align*}
\frac {1}{y}-\frac {x y^{\prime }}{y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.401 |
|
| 21183 |
\begin{align*}
\theta ^{\prime }&=z \left (-z^{2}+1\right ) \sec \left (\theta \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.401 |
|
| 21184 |
\begin{align*}
\left (x -y\right ) y^{\prime }&=x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.402 |
|
| 21185 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}+x^{n -1} a n -a^{2} x^{2 n} f \left (x \right ) \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
11.402 |
|
| 21186 |
\begin{align*}
y^{\prime }&=\frac {1}{y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.406 |
|
| 21187 |
\begin{align*}
y^{\prime }&=\frac {x \left (-2+3 \sqrt {x^{2}+3 y}\right )}{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.411 |
|
| 21188 |
\begin{align*}
x^{2} y^{\prime }&=x^{2}+y x +y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.411 |
|
| 21189 |
\begin{align*}
y^{\prime }&=2 \sqrt {y} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.417 |
|
| 21190 |
\begin{align*}
e y^{\prime \prime }&=P \left (-y+a \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.418 |
|
| 21191 |
\begin{align*}
y^{\prime }&=\frac {y}{\ln \left (\ln \left (y\right )\right )-\ln \left (x \right )+1} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.419 |
|
| 21192 |
\begin{align*}
x -y+2+\left (x -y+3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.419 |
|
| 21193 |
\begin{align*}
{y^{\prime }}^{2} \left (1-b^{2} {y^{\prime }}^{2}\right )+2 b^{2} y {y^{\prime }}^{2} y^{\prime \prime }+\left (a^{2}-b^{2} y^{2}\right ) {y^{\prime \prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
11.420 |
|
| 21194 |
\begin{align*}
y^{2} \left (-y^{\prime } x +y\right )&=x^{4} {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.421 |
|
| 21195 |
\begin{align*}
\left (2 x -y+2\right ) y^{\prime }+3+6 x -3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.422 |
|
| 21196 |
\begin{align*}
x -x y^{2}+\left (y-x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.424 |
|
| 21197 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= -1 \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.427 |
|
| 21198 |
\begin{align*}
y^{\prime \prime }&=\frac {m \sqrt {1+{y^{\prime }}^{2}}}{k} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.428 |
|
| 21199 |
\begin{align*}
y^{\prime }&=\frac {x \left (x +2 \sqrt {x^{3}-6 y}\right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.430 |
|
| 21200 |
\begin{align*}
y^{\prime }&=\tan \left (x +y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.432 |
|