| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13801 |
\begin{align*}
\left (\beta \,x^{2}+x \alpha +1\right ) y^{\prime \prime }+\left (\delta x +\gamma \right ) y^{\prime }+\epsilon y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.340 |
|
| 13802 |
\begin{align*}
b y+a y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.340 |
|
| 13803 |
\begin{align*}
2 y+y^{\prime }&=1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.340 |
|
| 13804 |
\begin{align*}
2 y^{\prime \prime } x +\left (2 x +1\right ) y^{\prime }-5 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.341 |
|
| 13805 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (t \right )^{2} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.341 |
|
| 13806 |
\begin{align*}
-y+y^{\prime } x +y^{\prime \prime }&=X \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.341 |
|
| 13807 |
\begin{align*}
y+y^{\prime }&=\operatorname {Heaviside}\left (t -10\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.341 |
|
| 13808 |
\begin{align*}
\frac {4 y^{2}-2 x^{2}}{4 x y^{2}-x^{3}}+\frac {\left (8 y^{2}-x^{2}\right ) y^{\prime }}{4 y^{3}-x^{2} y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| 13809 |
\begin{align*}
y^{\prime \prime }+\left (a \,x^{2}+b \right ) y^{\prime }+c \left (a \,x^{2}+b -c \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.342 |
|
| 13810 |
\begin{align*}
3 y^{\prime \prime } x +11 y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| 13811 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= -1 \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.343 |
|
| 13812 |
\begin{align*}
x^{\prime }&=-10 x+y+7 z \\
y^{\prime }&=-9 x+4 y+5 z \\
z^{\prime }&=-17 x+y+12 z \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.343 |
|
| 13813 |
\begin{align*}
y^{\prime \prime }+4 y&=\delta \left (t -\pi \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.343 |
|
| 13814 |
\begin{align*}
y^{\prime \prime }+6 a^{10} y^{11}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.344 |
|
| 13815 |
\begin{align*}
\left (4 x^{3}-14 x^{2}-2 x \right ) y^{\prime \prime }-\left (6 x^{2}-7 x +1\right ) y^{\prime }+\left (6 x -1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.345 |
|
| 13816 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}&=\ln \left (y\right ) y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.345 |
|
| 13817 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x -4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.345 |
|
| 13818 |
\begin{align*}
\cos \left (x \right )^{2} y^{\prime \prime }-2 \cos \left (x \right ) \sin \left (x \right ) y^{\prime }+y \cos \left (x \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.345 |
|
| 13819 |
\begin{align*}
y^{\prime \prime } x +\left (a \,x^{2}+b x +2\right ) y^{\prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.345 |
|
| 13820 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (-v^{2}+x^{2}\right ) y-f \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.346 |
|
| 13821 |
\begin{align*}
y^{\prime }&=\frac {1}{2 x -y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.346 |
|
| 13822 |
\begin{align*}
\left (1-y^{\prime }\right )^{2}-{\mathrm e}^{-2 y}&={\mathrm e}^{-2 x} {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.346 |
|
| 13823 |
\begin{align*}
y^{\prime \prime }+25 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.347 |
|
| 13824 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.347 |
|
| 13825 |
\begin{align*}
y^{\prime \prime }+a y^{\prime }+b y-f \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.348 |
|
| 13826 |
\begin{align*}
x^{\prime }+y^{\prime }-x&=-2 t \\
x^{\prime }+y^{\prime }-3 x-y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.348 |
|
| 13827 |
\begin{align*}
4 y+y^{\prime \prime }&=x \left (\cos \left (x \right )+1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.348 |
|
| 13828 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+2 y x&=4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.348 |
|
| 13829 |
\begin{align*}
y^{2} {y^{\prime }}^{2}&=a^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.349 |
|
| 13830 |
\begin{align*}
y^{\prime }+2 y x&=1+x^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.350 |
|
| 13831 |
\begin{align*}
y^{\prime }&=\frac {10}{x^{2}+1} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.350 |
|
| 13832 |
\begin{align*}
9 x^{2} y^{\prime \prime }+\left (x^{2}-15 x \right ) y^{\prime }+7 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.350 |
|
| 13833 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.351 |
|
| 13834 |
\begin{align*}
y^{\prime \prime }+4 y&=8 \operatorname {Heaviside}\left (t -\pi \right ) \sin \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.351 |
|
| 13835 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y^{\prime } x +3 y&=0 \\
y \left (1\right ) &= 3 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.351 |
|
| 13836 |
\begin{align*}
y^{\prime }&=y-t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.351 |
|
| 13837 |
\begin{align*}
y^{\prime }-5 y&=3 \operatorname {Heaviside}\left (t -4\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.351 |
|
| 13838 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.352 |
|
| 13839 |
\begin{align*}
y^{\prime \prime } x&=-y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.352 |
|
| 13840 |
\begin{align*}
y^{\prime \prime }+3 y&=\sin \left (x \right )+\frac {\sin \left (3 x \right )}{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.352 |
|
| 13841 |
\begin{align*}
y^{\prime \prime }+y&=x^{2} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.352 |
|
| 13842 |
\begin{align*}
x \left (1-2 x \right ) y^{\prime \prime }-2 \left (2+x \right ) y^{\prime }+8 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.353 |
|
| 13843 |
\begin{align*}
8 x {y^{\prime }}^{3}-12 y {y^{\prime }}^{2}+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.353 |
|
| 13844 |
\begin{align*}
y^{\prime }+c y&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.353 |
|
| 13845 |
\begin{align*}
y^{\prime }&=a \left (t \right ) y+\delta \left (-t +s \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.353 |
|
| 13846 |
\begin{align*}
y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+26 y^{\prime \prime }-40 y^{\prime }+25 y&={\mathrm e}^{2 x} \left (3 \cos \left (x \right )-\left (1+3 x \right ) \sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.354 |
|
| 13847 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2}+x_{3} \\
x_{2}^{\prime }&=x_{1}+x_{2}-x_{3}+6 \,{\mathrm e}^{-t} \\
x_{3}^{\prime }&=2 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.354 |
|
| 13848 |
\begin{align*}
x \left (4-x \right ) y^{\prime \prime }+\left (-x +2\right ) y^{\prime }+4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.354 |
|
| 13849 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.354 |
|
| 13850 |
\begin{align*}
x^{\prime }&=x+2 y+\sin \left (t \right ) \\
y^{\prime }&=-x+y-\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.354 |
|
| 13851 |
\begin{align*}
2 {y^{\prime }}^{3}+3 {y^{\prime }}^{2}&=x +y \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.354 |
|
| 13852 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+7 x^{3} y^{\prime \prime \prime }+9 x^{2} y^{\prime \prime }-6 y^{\prime } x -6 y&=\cos \left (\ln \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.355 |
|
| 13853 |
\begin{align*}
y y^{\prime \prime }&=g \left (x \right ) y^{2}+f \left (x \right ) y y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.355 |
|
| 13854 |
\begin{align*}
2 y^{\prime \prime }+y^{\prime }-4 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.356 |
|
| 13855 |
\begin{align*}
4 y+y^{\prime \prime }&=4 \cos \left (2 x \right )+6 \cos \left (x \right )+8 x^{2}-4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.356 |
|
| 13856 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.356 |
|
| 13857 |
\begin{align*}
g \left (x \right ) y^{\prime }+f \left (x \right ) {y^{\prime }}^{k}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.357 |
|
| 13858 |
\begin{align*}
4 y y^{\prime }-4 x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.357 |
|
| 13859 |
\begin{align*}
y^{\prime }&=y \ln \left (y+2\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.357 |
|
| 13860 |
\begin{align*}
x V^{\prime }&=x^{2}+1 \\
V \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.357 |
|
| 13861 |
\begin{align*}
y^{\prime \prime }&=-\frac {b^{2} y}{\left (a^{2}+x^{2}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.358 |
|
| 13862 |
\begin{align*}
y^{\prime \prime }+16 y&=\delta \left (-2+t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.358 |
|
| 13863 |
\begin{align*}
y^{\prime }&=x^{2}+2 x -y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.358 |
|
| 13864 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}+{\mathrm e}^{3 t} \\
x_{2}^{\prime }&=3 x_{1}-2 x_{2}+{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.359 |
|
| 13865 |
\begin{align*}
y^{\prime \prime } x&=y^{\prime }+x^{5} \\
y \left (1\right ) &= {\frac {1}{2}} \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.359 |
|
| 13866 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (3 x^{2}-2 y^{2}\right ) y^{\prime }-6 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.359 |
|
| 13867 |
\begin{align*}
x^{\prime }&=y-z \\
y^{\prime }&=z-x \\
z^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.360 |
|
| 13868 |
\begin{align*}
{\mathrm e}^{x} y^{\prime \prime }-\left (x^{2}-1\right ) y^{\prime }+2 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.361 |
|
| 13869 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.361 |
|
| 13870 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
y^{\prime \prime \prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.361 |
|
| 13871 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.361 |
|
| 13872 |
\begin{align*}
y^{\prime }&=x^{2}+6 y+4 z \\
z^{\prime }&=y+3 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.361 |
|
| 13873 |
\begin{align*}
\left (a^{2} x^{2}+2\right ) y-2 y^{\prime } x +x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.362 |
|
| 13874 |
\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*} |
✓ |
✗ |
✓ |
✓ |
1.362 |
|
| 13875 |
\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*} |
✓ |
✓ |
✓ |
✗ |
1.363 |
|
| 13876 |
\begin{align*}
y^{\prime }&=\left (4 x +y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.364 |
|
| 13877 |
\begin{align*}
y^{\prime }-y&=2 x -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.364 |
|
| 13878 |
\begin{align*}
c_{1}^{\prime }&=-\frac {k c_{1}}{V_{1}}+\frac {k c_{2}}{V_{1}} \\
c_{2}^{\prime }&=\frac {k c_{1}}{V_{2}}-\frac {k c_{2}}{V_{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.365 |
|
| 13879 |
\begin{align*}
\left (-x^{2}+x \right ) y^{\prime \prime }+3 y^{\prime }+2 y&=3 x^{2} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.366 |
|
| 13880 |
\begin{align*}
x^{\prime }&=c y-b z \\
y^{\prime }&=a z-c x \\
z^{\prime }&=b x-a y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.366 |
|
| 13881 |
\begin{align*}
t^{2} x^{\prime \prime }-2 x&=t^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.366 |
|
| 13882 |
\begin{align*}
a y+y^{\prime }&=b \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.367 |
|
| 13883 |
\begin{align*}
x {y^{\prime }}^{2}-2 y y^{\prime }+a x&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
1.367 |
|
| 13884 |
\begin{align*}
4 {y^{\prime }}^{3}+4 y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.368 |
|
| 13885 |
\begin{align*}
\left ({y^{\prime }}^{2}-\frac {1}{a^{2}-x^{2}}\right ) \left (y^{\prime }-\sqrt {\frac {y}{x}}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.368 |
|
| 13886 |
\begin{align*}
2 y+x +\left (x^{2}-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.368 |
|
| 13887 |
\begin{align*}
y y^{\prime \prime }&={y^{\prime }}^{2} \left (1-y^{\prime } \sin \left (y\right )-\cos \left (y\right ) y y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.368 |
|
| 13888 |
\begin{align*}
L i^{\prime }+R i&=E \\
i \left (0\right ) &= i_{0} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.369 |
|
| 13889 |
\begin{align*}
y^{\prime \prime }-2 \tan \left (x \right ) y^{\prime }+5 y&={\mathrm e}^{x^{2}} \sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.369 |
|
| 13890 |
\begin{align*}
y^{\prime }+2 a \,x^{3} y^{3}+2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.369 |
|
| 13891 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&=t^{2}-{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.369 |
|
| 13892 |
\begin{align*}
\left (1-x \right ) x y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.369 |
|
| 13893 |
\begin{align*}
y^{\prime }&=x \,{\mathrm e}^{-x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.370 |
|
| 13894 |
\begin{align*}
y^{\prime }&=-y x +1 \\
y \left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.370 |
|
| 13895 |
\begin{align*}
\left (1-x \right ) x y^{\prime \prime }-3 y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.370 |
|
| 13896 |
\begin{align*}
y^{\prime \prime }+4 y&=\sec \left (2 t \right )+\tan \left (2 t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.370 |
|
| 13897 |
\begin{align*}
y {y^{\prime }}^{2}+2 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.370 |
|
| 13898 |
\begin{align*}
y^{\prime \prime }+y&=x \left (\cos \left (x \right )-x \sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.371 |
|
| 13899 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&={\mathrm e}^{x} \cos \left (2 x \right )+\cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.371 |
|
| 13900 |
\begin{align*}
y^{\prime \prime } x -3 y^{\prime }&=4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.371 |
|