| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 14801 |
\begin{align*}
f \left (\frac {y^{\prime \prime }}{y^{\prime }}\right ) y^{\prime }&={y^{\prime }}^{2}-y y^{\prime \prime } \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.320 |
|
| 14802 |
\begin{align*}
\left (x^{2}-25\right )^{2} y^{\prime \prime }-\left (x +5\right ) y^{\prime }+10 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.320 |
|
| 14803 |
\begin{align*}
4 y+y^{\prime \prime }&=x \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.320 |
|
| 14804 |
\begin{align*}
\frac {2 t y}{t^{2}+1}+y^{\prime }&=\frac {1}{t^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.321 |
|
| 14805 |
\begin{align*}
x^{\prime }&=-2 x+y-t +3 \\
y^{\prime }&=x+4 y+t -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.322 |
|
| 14806 |
\begin{align*}
x^{\prime }&=-3 x+48 y-28 z \\
y^{\prime }&=-4 x+40 y-22 z \\
z^{\prime }&=-6 x+57 y-31 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.322 |
|
| 14807 |
\begin{align*}
t^{2} y^{\prime \prime }+y^{\prime } t +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.323 |
|
| 14808 |
\begin{align*}
y^{3}+x y^{2}+y+\left (x^{3}+x^{2} y+x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.323 |
|
| 14809 |
\begin{align*}
\left (x^{3}-2 x^{2}+3 x \right )^{2} y^{\prime \prime }+x \left (x -3\right )^{2} y^{\prime }-\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.323 |
|
| 14810 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.323 |
|
| 14811 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }&=8 x^{2}+2 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.323 |
|
| 14812 |
\begin{align*}
y^{\prime }&=y^{{1}/{3}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.324 |
|
| 14813 |
\begin{align*}
y^{\prime }+y^{2}-3 y+2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.324 |
|
| 14814 |
\begin{align*}
2 x^{2} y^{\prime \prime }+10 y^{\prime } x +8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.324 |
|
| 14815 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -6 y&=10 x^{2} \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= -6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.324 |
|
| 14816 |
\begin{align*}
y {y^{\prime }}^{2}-\left (y x +1\right ) y^{\prime }+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.325 |
|
| 14817 |
\begin{align*}
\left (1-a \right )^{2} y+a \,x^{2 a -1} y^{\prime }+x^{2 a} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.325 |
|
| 14818 |
\begin{align*}
y^{\prime \prime }&=2 a \left (c +b x +y\right ) \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.325 |
|
| 14819 |
\begin{align*}
y^{\prime \prime }-y^{\prime }&={\mathrm e}^{2 x} \cos \left ({\mathrm e}^{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.325 |
|
| 14820 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.326 |
|
| 14821 |
\begin{align*}
y^{\prime \prime }+n^{2} y&={\mathrm e}^{x} x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.326 |
|
| 14822 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y&=x^{2}+\frac {1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.326 |
|
| 14823 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=4 \cos \left (3 t \right ) \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.326 |
|
| 14824 |
\begin{align*}
y^{\prime }&=200 y-2 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.327 |
|
| 14825 |
\begin{align*}
y^{\prime }+2 y&=\left \{\begin {array}{cc} 1 & 0\le t \le 1 \\ 0 & 1<t \end {array}\right . \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.327 |
|
| 14826 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=\left \{\begin {array}{cc} {\mathrm e}^{-t} & 0\le t <4 \\ 0 & 4\le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
1.327 |
|
| 14827 |
\begin{align*}
y^{\prime \prime } x +\left (x +n \right ) y^{\prime }+\left (n +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.328 |
|
| 14828 |
\begin{align*}
t^{2} y^{\prime \prime }-y^{\prime } t -2 y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.329 |
|
| 14829 |
\begin{align*}
y \left (1+\sqrt {x^{2} y^{4}-1}\right )+2 y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.329 |
|
| 14830 |
\begin{align*}
y^{\prime \prime }+16 y&=\left \{\begin {array}{cc} \cos \left (4 t \right ) & 0\le t <\pi \\ 0 & \pi \le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.329 |
|
| 14831 |
\begin{align*}
\left (a -b \right ) y^{2} {y^{\prime }}^{2}-2 b x y y^{\prime }-a b -b \,x^{2}+a y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.329 |
|
| 14832 |
\begin{align*}
y^{\prime }&=\frac {2 y x}{y^{2}-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.329 |
|
| 14833 |
\begin{align*}
2 y^{\prime \prime } x +\left (2 x +1\right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.330 |
|
| 14834 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime \prime }-2 \left (1+{y^{\prime }}^{2}\right ) \left (-y+y^{\prime } x \right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.330 |
|
| 14835 |
\begin{align*}
y^{\prime }&=\frac {1}{\sqrt {-x^{2}+1}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.331 |
|
| 14836 |
\begin{align*}
4 y^{\prime \prime }-3 y^{\prime }&=x \,{\mathrm e}^{\frac {3 x}{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.331 |
|
| 14837 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+{\mathrm e}^{c t} \\
x_{2}^{\prime }&=2 x_{1}+x_{2}-2 x_{3} \\
x_{3}^{\prime }&=3 x_{1}+2 x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 14838 |
\begin{align*}
-\left (p^{2}+x^{2}\right ) y+y^{\prime } x +x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 14839 |
\begin{align*}
3 y^{\prime \prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 14840 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+x&=0 \\
y \left (2\right ) &= -1 \\
y^{\prime }\left (2\right ) &= -{\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 14841 |
\begin{align*}
y^{\prime \prime }&=y^{\prime } \left (1+y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 14842 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.332 |
|
| 14843 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x^{2}+2\right ) y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.333 |
|
| 14844 |
\begin{align*}
5 y^{\prime \prime } x +8 y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.333 |
|
| 14845 |
\begin{align*}
y^{\prime \prime }+9 y&=\sec \left (3 t \right ) \tan \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.334 |
|
| 14846 |
\begin{align*}
t^{2} \ln \left (t \right ) y^{\prime \prime \prime }-t y^{\prime \prime }+y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.334 |
|
| 14847 |
\begin{align*}
y^{\prime \prime } x +\left (x -2\right ) y^{\prime }-2 y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.334 |
|
| 14848 |
\begin{align*}
x_{1}^{\prime }&=x_{2}-x_{3}+x_{4} \\
x_{2}^{\prime }&=-x_{2}+x_{4} \\
x_{3}^{\prime }&=x_{3}-x_{4} \\
x_{4}^{\prime }&=2 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.334 |
|
| 14849 |
\begin{align*}
y^{\prime }-a y&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.334 |
|
| 14850 |
\begin{align*}
4 x^{2} \left (x +1\right ) y^{\prime \prime }+4 x \left (3+8 x \right ) y^{\prime }-\left (5-49 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 14851 |
\begin{align*}
4 x^{2} y^{\prime \prime }+{\mathrm e}^{x} y^{\prime } x -y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 14852 |
\begin{align*}
\left (1-x \right ) x y^{\prime \prime }-3 y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 14853 |
\begin{align*}
x^{\prime }&=2 x-y+\cos \left (t \right ) \\
y^{\prime }&=5 x-2 y+\sin \left (t \right ) \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 14854 |
\begin{align*}
x^{\prime }&=a x+b y \\
y^{\prime }&=c x+d y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 14855 |
\begin{align*}
4 {y^{\prime }}^{2}-9 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.335 |
|
| 14856 |
\begin{align*}
6 y-4 \left (x +1\right ) y^{\prime }+\left (x +1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.336 |
|
| 14857 |
\begin{align*}
2 x^{2} \left (3 x +2\right ) y^{\prime \prime }+x \left (4+21 x \right ) y^{\prime }-\left (1-9 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.337 |
|
| 14858 |
\begin{align*}
4 y+y^{\prime \prime }&=\cos \left (x \right ) \cos \left (2 x \right ) \cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.337 |
|
| 14859 |
\begin{align*}
2 y y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.337 |
|
| 14860 |
\begin{align*}
4 y^{\prime \prime }+24 y^{\prime }+37 y&=17 \,{\mathrm e}^{-t}+\delta \left (t -\frac {1}{2}\right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.339 |
|
| 14861 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }+16 \left (2+x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.339 |
|
| 14862 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=3 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.339 |
|
| 14863 |
\begin{align*}
\left (1-t \right ) y^{\prime \prime }+y^{\prime } t -y&=2 \left (t -1\right )^{2} {\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.340 |
|
| 14864 |
\begin{align*}
y^{\prime \prime }+n^{2} y&=\frac {6 y}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.340 |
|
| 14865 |
\begin{align*}
x^{2} y^{\prime \prime }+7 y^{\prime } x -7 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.340 |
|
| 14866 |
\begin{align*}
y^{\prime \prime }-\left (m_{1} +m_{2} \right ) y^{\prime }+m_{1} m_{2} y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.340 |
|
| 14867 |
\begin{align*}
y^{\prime }&=2 y \left (5-y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.340 |
|
| 14868 |
\begin{align*}
y^{\prime }&=\frac {1}{y} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.341 |
|
| 14869 |
\begin{align*}
x^{\prime }&=2 x+4 y+3 \,{\mathrm e}^{t} \\
y^{\prime }&=5 x-y-t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| 14870 |
\begin{align*}
y+y^{\prime }&={\mathrm e}^{t} t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| 14871 |
\begin{align*}
x^{\prime }&=-\frac {x}{2}+2 y-3 z \\
y^{\prime }&=y-\frac {z}{2} \\
z^{\prime }&=-2 x+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| 14872 |
\begin{align*}
y^{\prime \prime }&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| 14873 |
\begin{align*}
t^{4} x^{\prime \prime \prime \prime }-2 t^{3} x^{\prime \prime \prime }-20 t^{2} x^{\prime \prime }+12 t x^{\prime }+16 x&=\cos \left (3 \ln \left (t \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| 14874 |
\begin{align*}
y^{\prime }-y x&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| 14875 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y \left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| 14876 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-2 y&=\frac {t^{2}+1}{-t^{2}+1} \\
y \left (2\right ) &= y_{1} \\
y^{\prime }\left (2\right ) &= y_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.342 |
|
| 14877 |
\begin{align*}
m y^{\prime \prime }+k y&=\delta \left (-t +T \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| 14878 |
\begin{align*}
b y-2 \tan \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.343 |
|
| 14879 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-6 y&=0 \\
y \left (0\right ) &= 0 \\
y \left (1\right ) &= {\mathrm e}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.343 |
|
| 14880 |
\begin{align*}
2 x^{2} y^{\prime \prime }-3 y^{\prime } x -18 y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.345 |
|
| 14881 |
\begin{align*}
4 y y^{\prime }-4 x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.345 |
|
| 14882 |
\begin{align*}
y^{\prime }&=\left (4 y+{\mathrm e}^{-t^{2}}\right ) {\mathrm e}^{2 y} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.346 |
|
| 14883 |
\begin{align*}
6 y^{\prime }+6 y^{2}-y-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.347 |
|
| 14884 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.347 |
|
| 14885 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=0 \\
y^{\prime }\left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.348 |
|
| 14886 |
\begin{align*}
2 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+x \left (11 x^{2}+11 x +9\right ) y^{\prime }+\left (7 x^{2}+10 x +6\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.348 |
|
| 14887 |
\begin{align*}
y^{\prime }+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.349 |
|
| 14888 |
\begin{align*}
x^{\prime }&=2 x+4 y+3 \,{\mathrm e}^{t} \\
y^{\prime }&=5 x-y-t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.349 |
|
| 14889 |
\begin{align*}
8 y {y^{\prime }}^{2}-2 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.349 |
|
| 14890 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (5 x +4\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
1.349 |
|
| 14891 |
\begin{align*}
\frac {x y^{\prime \prime }}{-x^{2}+1}+y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.351 |
|
| 14892 |
\begin{align*}
\left (2 x -1\right ) y^{\prime \prime }-\left (3 x -4\right ) y^{\prime }+\left (x -3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.351 |
|
| 14893 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=\sec \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.351 |
|
| 14894 |
\begin{align*}
-2 y+y^{\prime }&={\mathrm e}^{2 t} \\
y \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.351 |
|
| 14895 |
\begin{align*}
y^{\prime }&=-1+{\mathrm e}^{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.352 |
|
| 14896 |
\begin{align*}
y^{\prime \prime }&={y^{\prime }}^{3} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.352 |
|
| 14897 |
\begin{align*}
3 x {y^{\prime }}^{2}-6 y y^{\prime }+x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.352 |
|
| 14898 |
\begin{align*}
\left (1-y\right ) y^{\prime \prime }-{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.352 |
|
| 14899 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 \delta \left (x -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.352 |
|
| 14900 |
\begin{align*}
x^{\prime }&=-4 x+3 y \\
y^{\prime }&=z-y \\
z^{\prime }&=5 x-5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.352 |
|