| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 10001 |
\begin{align*}
x_{1}^{\prime }&=-40 x_{1}-12 x_{2}+54 x_{3} \\
x_{2}^{\prime }&=35 x_{1}+13 x_{2}-46 x_{3} \\
x_{3}^{\prime }&=-25 x_{1}-7 x_{2}+34 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10002 |
\begin{align*}
y^{\prime }&=\cos \left (x \right )+\sin \left (y\right ) \\
y \left (\frac {\pi }{2}\right ) &= \frac {\pi }{2} \\
\end{align*}
Series expansion around \(x=\frac {\pi }{2}\). |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10003 |
\begin{align*}
x^{2} y^{\prime }&=a +b \,x^{n}+x^{2} y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.747 |
|
| 10004 |
\begin{align*}
{y^{\prime }}^{2}+\left (1-x \right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10005 |
\begin{align*}
y^{\prime } \left (x y^{\prime }-y+k \right )+a&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.747 |
|
| 10006 |
\begin{align*}
y^{\prime \prime }-8 y^{\prime }+15 y&=9 \,{\mathrm e}^{2 t} t \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= 10 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10007 |
\begin{align*}
x^{\prime }+y^{\prime }+y&={\mathrm e}^{-t} \\
2 x^{\prime }+y^{\prime }+2 y&=\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10008 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10009 |
\begin{align*}
y^{\prime \prime }+9 y&=\cos \left (2 x \right )+\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10010 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10011 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+x&=k \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10012 |
\begin{align*}
4 x^{2} y^{\prime \prime }+y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10013 |
\begin{align*}
y^{\prime \prime }-y&=\frac {2 \,{\mathrm e}^{x}}{\left (1+{\mathrm e}^{x}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.747 |
|
| 10014 |
\begin{align*}
2 y^{2} {\mathrm e}^{2 x}+3 x^{2}+2 y \,{\mathrm e}^{2 x} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.748 |
|
| 10015 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )+4 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.748 |
|
| 10016 |
\begin{align*}
y^{\prime \prime }-9 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.748 |
|
| 10017 |
\begin{align*}
y^{\prime }+a \sin \left (\alpha y+\beta x \right )+b&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.748 |
|
| 10018 |
\begin{align*}
y^{\prime \prime }-k \,x^{a} y^{b} {y^{\prime }}^{r}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.748 |
|
| 10019 |
\begin{align*}
x^{\prime \prime }-x&=\frac {1}{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.748 |
|
| 10020 |
\begin{align*}
y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=24 x \cos \left (x \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 ) &= 12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.748 |
|
| 10021 |
\begin{align*}
x y^{2} {y^{\prime }}^{2}+\left (x^{3}+x y^{2}-y^{3}\right ) y^{\prime }+x^{3}-y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.748 |
|
| 10022 |
\begin{align*}
y^{\prime }&=x^{2}+6 y+4 z \\
z^{\prime }&=y+3 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.748 |
|
| 10023 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}&=y^{2} y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.748 |
|
| 10024 |
\begin{align*}
2 x y^{\prime \prime }+\left (-2 x^{2}+1\right ) y^{\prime }-4 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.749 |
|
| 10025 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x \left (x +1\right ) y^{\prime }+\left (x^{2}+2 x +2\right ) y&={\mathrm e}^{x} x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.749 |
|
| 10026 |
\begin{align*}
y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.749 |
|
| 10027 |
\begin{align*}
a y+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.749 |
|
| 10028 |
\begin{align*}
x^{\prime \prime }-4 x^{\prime }+3 x&=2 \,{\mathrm e}^{t}-5 \,{\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.749 |
|
| 10029 |
\begin{align*}
y \left (1+\ln \left (y\right )\right ) y^{\prime \prime }+{y^{\prime }}^{2}&=2 x y \,{\mathrm e}^{x^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.749 |
|
| 10030 |
\begin{align*}
9 x^{2} y^{\prime \prime }+3 x \left (-x^{2}+1\right ) y^{\prime }+\left (7 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10031 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=4 \,{\mathrm e}^{3 x} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10032 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10033 |
\begin{align*}
x y^{\prime \prime }+\left (2-x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10034 |
\begin{align*}
x^{\prime \prime }+x^{\prime }-2 x&=3 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10035 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+20 y&=-3 \sin \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10036 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (1-4 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10037 |
\begin{align*}
x^{\prime }&=-x+y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10038 |
\begin{align*}
\left (2-3 y\right )^{2} {y^{\prime }}^{2}&=4-4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10039 |
\begin{align*}
\left (x y^{\prime }-y\right )^{2}-{y^{\prime }}^{2}-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.750 |
|
| 10040 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=x^{3} {\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10041 |
\begin{align*}
x^{2} y^{\prime \prime }+5 x y^{\prime }-5 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10042 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{3} \tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10043 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}+y_{2}+{\mathrm e}^{t} \\
y_{2}^{\prime }&=y_{1}+2 y_{2}-{\mathrm e}^{t} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.750 |
|
| 10044 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=4 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.750 |
|
| 10045 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+2 x_{2}+2 x_{3} \\
x_{2}^{\prime }&=-5 x_{1}-4 x_{2}-2 x_{3} \\
x_{3}^{\prime }&=5 x_{1}+5 x_{2}+3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.751 |
|
| 10046 |
\begin{align*}
y^{\prime \prime }&=4 \sin \left (x \right )-4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.751 |
|
| 10047 |
\begin{align*}
-2 t y^{2} \sin \left (t^{2}\right )+2 y \cos \left (t^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.751 |
|
| 10048 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.751 |
|
| 10049 |
\begin{align*}
y^{\prime \prime }+100 y&=\cos \left (\omega t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.751 |
|
| 10050 |
\begin{align*}
x^{\prime }&=3 x+2 y+4 z \\
y^{\prime }&=2 x+2 z \\
z^{\prime }&=4 x+2 y+3 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.752 |
|
| 10051 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (x^{2}-y^{2}\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.752 |
|
| 10052 |
\begin{align*}
4 x y^{\prime \prime }+2 y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.752 |
|
| 10053 |
\begin{align*}
y^{\prime \prime }+9 y&=6 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.752 |
|
| 10054 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-4 y&={\mathrm e}^{t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.752 |
|
| 10055 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=3 \,{\mathrm e}^{-2 x}+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.752 |
|
| 10056 |
\begin{align*}
r^{\prime \prime }-2 r&=-{\mathrm e}^{-2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.752 |
|
| 10057 |
\begin{align*}
y {y^{\prime }}^{2}+\left (y^{2}-x^{3}-x y^{2}\right ) y^{\prime }-x y \left (x^{2}+y^{2}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.753 |
|
| 10058 |
\begin{align*}
x {y^{\prime }}^{3}-\left (x +x^{2}+y\right ) {y^{\prime }}^{2}+\left (x^{2}+y+y x \right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.753 |
|
| 10059 |
\begin{align*}
2 x \left (1-x \right ) y^{\prime \prime }+y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.753 |
|
| 10060 |
\begin{align*}
\left (x^{2}-2 x +2\right ) y^{\prime \prime }-4 \left (x -1\right ) y^{\prime }+6 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.753 |
|
| 10061 |
\begin{align*}
y^{\prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.753 |
|
| 10062 |
\begin{align*}
4 i^{\prime \prime }-12 i^{\prime }+9 i&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.753 |
|
| 10063 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (-p^{2}+x^{2}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.753 |
|
| 10064 |
\begin{align*}
r^{\prime \prime }+r^{\prime }+r&=1 \\
r \left (0\right ) &= 0 \\
r^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.753 |
|
| 10065 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1} \\
y_{2}^{\prime }&=3 y_{1}-2 y_{2} \\
y_{3}^{\prime }&=2 y_{2}+3 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.753 |
|
| 10066 |
\begin{align*}
2 x^{2} y^{\prime \prime }+\sin \left (x \right ) y^{\prime }-\cos \left (x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.754 |
|
| 10067 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x +1\right ) y^{\prime }+3 y \ln \left (x \right )&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10068 |
\begin{align*}
y_{1}^{\prime }&=-5 y_{1}-y_{2}+11 y_{3} \\
y_{2}^{\prime }&=-7 y_{1}+y_{2}+13 y_{3} \\
y_{3}^{\prime }&=-4 y_{1}+8 y_{3} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 0 \\
y_{2} \left (0\right ) &= 2 \\
y_{3} \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10069 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10070 |
\begin{align*}
\left (x +2\right ) y^{\prime \prime }+3 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10071 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+2 x \left (3 x +2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10072 |
\begin{align*}
x y^{\prime }&=x y^{2}+a y+b \,x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.754 |
|
| 10073 |
\begin{align*}
3 y+y^{\prime }&=\operatorname {Heaviside}\left (-4+t \right ) \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10074 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+y&={\mathrm e}^{t} \sqrt {-t^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10075 |
\begin{align*}
x^{\prime }&=4 x-5 y \\
y^{\prime }&=x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10076 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-x_{2}+{\mathrm e}^{t} \\
x_{2}^{\prime }&=3 x_{1}-2 x_{2}+t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10077 |
\begin{align*}
x y^{\prime \prime }+\left (x -2\right ) y^{\prime }-2 y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.754 |
|
| 10078 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-6 x y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10079 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10080 |
\begin{align*}
y^{\prime \prime }+\frac {t y^{\prime }}{-t^{2}+1}+\frac {y}{t +1}&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10081 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+x_{2} \\
x_{2}^{\prime }&=-4 x_{1}+3 x_{2}+10 \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.754 |
|
| 10082 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-x_{2}+{\mathrm e}^{t} \\
x_{2}^{\prime }&=4 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.755 |
|
| 10083 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 x \left (y^{\prime }+1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.755 |
|
| 10084 |
\begin{align*}
y^{\prime \prime }+16 y&=16 \cos \left (4 x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.755 |
|
| 10085 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.755 |
|
| 10086 |
\begin{align*}
\sin \left (x \right )+2 \cos \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.755 |
|
| 10087 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.755 |
|
| 10088 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.755 |
|
| 10089 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=8 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.755 |
|
| 10090 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+25 y&=\frac {2 \,{\mathrm e}^{5 x}}{x^{2}+4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.756 |
|
| 10091 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}+27 t \\
x_{2}^{\prime }&=-x_{1}+4 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.756 |
|
| 10092 |
\begin{align*}
x +y+1-\left (3-x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.756 |
|
| 10093 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=x^{3}-x \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.756 |
|
| 10094 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y&=x^{2}+x +1 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.756 |
|
| 10095 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}+6 x \right ) y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.756 |
|
| 10096 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=24 \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.756 |
|
| 10097 |
\begin{align*}
x^{\prime }&=y-x+{\mathrm e}^{t} \\
y^{\prime }&=x-y+{\mathrm e}^{t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.756 |
|
| 10098 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=2 t \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.756 |
|
| 10099 |
\begin{align*}
y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=x^{2} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.756 |
|
| 10100 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.756 |
|