| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13801 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (1+3 x \right ) y^{\prime }+\left (1-6 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.357 |
|
| 13802 |
\begin{align*}
-\left (n \left (n +1\right )+a^{2} x^{2}\right ) y+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.357 |
|
| 13803 |
\begin{align*}
x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y p&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.357 |
|
| 13804 |
\begin{align*}
c y^{\prime }&=a x +b y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.358 |
|
| 13805 |
\begin{align*}
y^{\prime }&=2 y-4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.358 |
|
| 13806 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+3 x_{3} \\
x_{2}^{\prime }&=-2 x_{2} \\
x_{3}^{\prime }&=3 x_{1}-x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 2 \\
x_{2} \left (0\right ) &= -1 \\
x_{3} \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.359 |
|
| 13807 |
\begin{align*}
x^{\prime \prime }+x&=g \left (t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.359 |
|
| 13808 |
\begin{align*}
2 y^{\prime \prime }-3 y^{2}&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.360 |
|
| 13809 |
\begin{align*}
{\mathrm e}^{-y} y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.360 |
|
| 13810 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}+2 x \right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.360 |
|
| 13811 |
\begin{align*}
\left (1+\cos \left (2 t \right )\right ) y^{\prime \prime }-4 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.361 |
|
| 13812 |
\begin{align*}
2 y+y^{\prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.361 |
|
| 13813 |
\begin{align*}
x y^{\prime \prime }-\left (x -1\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.362 |
|
| 13814 |
\begin{align*}
y^{\prime \prime }+y&=\delta \left (t -2 \pi \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.362 |
|
| 13815 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.362 |
|
| 13816 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }+x y^{\prime }+\frac {y}{x}&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.362 |
|
| 13817 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.362 |
|
| 13818 |
\begin{align*}
t y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y&={\mathrm e}^{-t} t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.362 |
|
| 13819 |
\begin{align*}
x^{2} y^{\prime \prime }+3 x \left (x +1\right ) y^{\prime }+\left (-3 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.363 |
|
| 13820 |
\begin{align*}
y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=x^{2} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.363 |
|
| 13821 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.363 |
|
| 13822 |
\begin{align*}
x^{\prime }&=3 x \left (5-x\right ) \\
x \left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.364 |
|
| 13823 |
\begin{align*}
y^{\prime \prime }+y&=4 x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.364 |
|
| 13824 |
\begin{align*}
x y^{\prime }+a y^{2}-y+b \,x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.364 |
|
| 13825 |
\begin{align*}
y^{\prime }&={\mathrm e}^{y} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.364 |
|
| 13826 |
\begin{align*}
y^{\prime }&=-\frac {8 x +5}{3 y^{2}+1} \\
y \left (-1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.365 |
|
| 13827 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }-y x&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.365 |
|
| 13828 |
\begin{align*}
x \left (x -2\right )^{2} y^{\prime \prime }-2 \left (x -2\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
1.366 |
|
| 13829 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&=t^{2}-{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.366 |
|
| 13830 |
\begin{align*}
t y^{\prime \prime }+\left (1-t \right ) y^{\prime }+\lambda y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
1.366 |
|
| 13831 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{x}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.367 |
|
| 13832 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+\frac {y}{9}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.367 |
|
| 13833 |
\begin{align*}
y^{2} y^{\prime \prime }+{y^{\prime }}^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.368 |
|
| 13834 |
\begin{align*}
-y+x y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.368 |
|
| 13835 |
\begin{align*}
x^{2} y^{\prime \prime }-\sqrt {b y^{2}+a \,x^{2} {y^{\prime }}^{2}}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
1.368 |
|
| 13836 |
\begin{align*}
2 x^{3} y^{\prime \prime }+x^{2} \left (9+2 y x \right ) y^{\prime }+b +x y \left (a +3 y x -2 x^{2} y^{2}\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.368 |
|
| 13837 |
\begin{align*}
y^{\prime \prime }+\left (a \,{\mathrm e}^{\lambda x}-\lambda \right ) y^{\prime }+b \,{\mathrm e}^{2 \lambda x} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.368 |
|
| 13838 |
\begin{align*}
y^{\prime }&=y^{2}-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.369 |
|
| 13839 |
\begin{align*}
x y y^{\prime \prime }&=b^{2} x y^{3}+a y y^{\prime }+{y^{\prime }}^{2} x \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.369 |
|
| 13840 |
\begin{align*}
4 y+y^{\prime \prime }&=\cot \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.369 |
|
| 13841 |
\begin{align*}
\left (x y^{\prime }-1\right ) \ln \left (x \right )&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.369 |
|
| 13842 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.370 |
|
| 13843 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{t}+\lambda y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
1.370 |
|
| 13844 |
\begin{align*}
x^{2} y^{\prime \prime }+3 x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.370 |
|
| 13845 |
\begin{align*}
18 x^{2} y^{\prime \prime }+3 x \left (5+x \right ) y^{\prime }-\left (10 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.370 |
|
| 13846 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+x \left (2 x^{2}+5\right ) y^{\prime }-21 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.371 |
|
| 13847 |
\begin{align*}
\left (\phi ^{\prime }-\frac {\phi ^{2}}{2}\right ) \sin \left (\theta \right )^{2}-\phi \sin \left (\theta \right ) \cos \left (\theta \right )&=\frac {\cos \left (2 \theta \right )}{2}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.371 |
|
| 13848 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\frac {y^{\prime }}{y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.371 |
|
| 13849 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}-2 x_{3}+x_{4} \\
x_{2}^{\prime }&=3 x_{2}-5 x_{3}+3 x_{4} \\
x_{3}^{\prime }&=-13 x_{2}+22 x_{3}-12 x_{4} \\
x_{4}^{\prime }&=-27 x_{2}+45 x_{3}-25 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.372 |
|
| 13850 |
\begin{align*}
y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.372 |
|
| 13851 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-6 y&=8 \,{\mathrm e}^{2 x}-5 \,{\mathrm e}^{3 x} \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.372 |
|
| 13852 |
\begin{align*}
y^{\prime }-3 z&=5 \\
y-z^{\prime }-x&=3-2 t \\
z+x^{\prime }&=-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.372 |
|
| 13853 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.372 |
|
| 13854 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 x} \cos \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.374 |
|
| 13855 |
\begin{align*}
x y^{\prime \prime }+\left (1-x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.374 |
|
| 13856 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}-x \right ) y^{\prime }+\left (1-x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.374 |
|
| 13857 |
\begin{align*}
x_{1}^{\prime }&=x_{1} \\
x_{2}^{\prime }&=4 x_{1}+3 x_{2}-2 \,{\mathrm e}^{t} \\
x_{3}^{\prime }&=3 x_{3} \\
x_{4}^{\prime }&=-x_{1}+2 x_{2}+9 x_{3}+x_{4}+{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.374 |
|
| 13858 |
\begin{align*}
y^{\prime }-2 y&=3 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.375 |
|
| 13859 |
\begin{align*}
4 y-\left (x +4\right ) y^{\prime }+x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.375 |
|
| 13860 |
\begin{align*}
y+3 x y^{\prime }+9 x^{2} y^{\prime \prime }+6 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime }&=\left (1+\ln \left (x \right )\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.375 |
|
| 13861 |
\begin{align*}
x y^{\prime \prime }+4 y^{\prime }&=18 x^{2} \\
y \left (1\right ) &= 8 \\
y^{\prime }\left (1\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.375 |
|
| 13862 |
\begin{align*}
{y^{\prime }}^{2}-y y^{\prime }+{\mathrm e}^{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.375 |
|
| 13863 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.375 |
|
| 13864 |
\begin{align*}
2 \left (1+3 x \right ) y+2 \left (2-3 x \right ) x y^{\prime }+\left (1-2 x \right ) \left (1-x \right ) x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.376 |
|
| 13865 |
\begin{align*}
-2 y^{\prime }+x y^{\prime \prime }&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.376 |
|
| 13866 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }-3 y&=\cos \left ({\mathrm e}^{-x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.376 |
|
| 13867 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-4 x_{2}+3 x_{3}+{\mathrm e}^{6 t} \\
x_{2}^{\prime }&=-9 x_{1}-3 x_{2}-9 x_{3}+1 \\
x_{3}^{\prime }&=4 x_{1}+4 x_{2}+3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.377 |
|
| 13868 |
\begin{align*}
y^{\prime \prime }+y&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.377 |
|
| 13869 |
\begin{align*}
2 x^{2} y^{\prime \prime }-3 x y^{\prime }-18 y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.378 |
|
| 13870 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.378 |
|
| 13871 |
\begin{align*}
2 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.378 |
|
| 13872 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+\left (x +2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.378 |
|
| 13873 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.378 |
|
| 13874 |
\begin{align*}
y+y^{\prime }&=\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -2\right ) \\
y \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.378 |
|
| 13875 |
\begin{align*}
{y^{\prime }}^{2}-y y^{\prime }+{\mathrm e}^{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.378 |
|
| 13876 |
\begin{align*}
2 x^{2} y^{\prime \prime }+10 x y^{\prime }+8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.378 |
|
| 13877 |
\begin{align*}
y^{\prime }&=5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.378 |
|
| 13878 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }&={\mathrm e}^{-7 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.379 |
|
| 13879 |
\begin{align*}
y^{\prime \prime }+y&=t \left (1+\sin \left (t \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.379 |
|
| 13880 |
\begin{align*}
x^{\prime \prime }&=x-x^{3} \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.379 |
|
| 13881 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }+\left (2-4 x \right ) y^{\prime }-y&=4 x^{2} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.379 |
|
| 13882 |
\begin{align*}
x^{2} y^{\prime }+y x +1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.379 |
|
| 13883 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y&=2 \left (x -1\right )^{2} {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.381 |
|
| 13884 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x -\frac {2}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.381 |
|
| 13885 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }&=a x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.381 |
|
| 13886 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.381 |
|
| 13887 |
\begin{align*}
a \,{\mathrm e}^{y} x +y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.382 |
|
| 13888 |
\begin{align*}
a^{2} y+\left (x^{2}+y^{2}\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
1.382 |
|
| 13889 |
\begin{align*}
x x^{\prime \prime }-{x^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.382 |
|
| 13890 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.382 |
|
| 13891 |
\begin{align*}
x^{\prime }+y^{\prime }-y&=0 \\
y^{\prime }+2 y+z^{\prime }+2 z&=2 \\
x+z^{\prime }-z&=0 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
z \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.382 |
|
| 13892 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.382 |
|
| 13893 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.382 |
|
| 13894 |
\begin{align*}
2 x^{\prime }-x-y^{\prime }+y&=4 t \,{\mathrm e}^{-t}-3 \,{\mathrm e}^{-t} \\
x^{\prime }+4 x-2 y^{\prime }-4 y&=2 t \,{\mathrm e}^{-t}-6 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.382 |
|
| 13895 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.383 |
|
| 13896 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (a \,x^{2}+b x \right ) y^{\prime }-b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.384 |
|
| 13897 |
\begin{align*}
y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.384 |
|
| 13898 |
\begin{align*}
-y+2 n y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.385 |
|
| 13899 |
\begin{align*}
-2 y^{\prime }-\left (x +4\right ) y^{\prime \prime }+\left (1-2 x \right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.385 |
|
| 13900 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y \left (\pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.385 |
|