| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13001 |
\begin{align*}
x^{\prime }&=3 x+2 y+z \\
y^{\prime }&=-2 x-y+3 z \\
z^{\prime }&=x+y+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.050 |
|
| 13002 |
\begin{align*}
y^{\prime }-4 y&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.050 |
|
| 13003 |
\begin{align*}
x^{\prime }&=\ln \left (x^{2}+1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.050 |
|
| 13004 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+50 y&={\mathrm e}^{-t} \csc \left (7 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.051 |
|
| 13005 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=5 x \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.052 |
|
| 13006 |
\begin{align*}
2 \left (1+x \right ) y-2 x \left (1+x \right ) y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.052 |
|
| 13007 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{9}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.052 |
|
| 13008 |
\begin{align*}
4 y^{\prime \prime }-4 y^{\prime }+y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.052 |
|
| 13009 |
\begin{align*}
y^{3} y^{\prime \prime }&=-1 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
1.052 |
|
| 13010 |
\begin{align*}
y \left (y^{2}-2 x^{2}\right )+x \left (2 y^{2}-x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.053 |
|
| 13011 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.053 |
|
| 13012 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y&=1+x \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
1.053 |
|
| 13013 |
\begin{align*}
x \left (x^{2}-2\right ) y^{\prime \prime }-\left (x^{3}+3 x^{2}-2 x -2\right ) y^{\prime }+\left (x^{2}+4 x +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.053 |
|
| 13014 |
\begin{align*}
y^{\prime \prime }-y \,{\mathrm e}^{x}&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.053 |
|
| 13015 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.053 |
|
| 13016 |
\begin{align*}
y^{\prime \prime }+t y^{\prime }+y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.054 |
|
| 13017 |
\begin{align*}
{y^{\prime }}^{2}+4 x^{5} y^{\prime }-12 x^{4} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.054 |
|
| 13018 |
\begin{align*}
x^{2} y^{\prime \prime }&=\sqrt {b y^{2}+a \,x^{2} {y^{\prime }}^{2}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
1.055 |
|
| 13019 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 x y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.055 |
|
| 13020 |
\begin{align*}
x^{\prime }&=2 x-y+{\mathrm e}^{t} \\
y^{\prime }&=3 x-2 y+t \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.055 |
|
| 13021 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.055 |
|
| 13022 |
\begin{align*}
y^{\prime \prime }-4 y&=\cos \left (x \right ) {\mathrm e}^{2 x} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.056 |
|
| 13023 |
\begin{align*}
3 x^{2} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.056 |
|
| 13024 |
\begin{align*}
y^{\prime }+2 y&=1 \\
y \left (0\right ) &= {\frac {5}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.056 |
|
| 13025 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}+x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.056 |
|
| 13026 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.056 |
|
| 13027 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x^{2}+2\right ) y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.056 |
|
| 13028 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y&=1-2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.056 |
|
| 13029 |
\begin{align*}
y^{\prime \prime }+4 y&=\cos \left (2 t \right )+t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.056 |
|
| 13030 |
\begin{align*}
e y^{\prime \prime }&=-P L +\left (w L +P \right ) x -\frac {w \left (L^{2}+x^{2}\right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.056 |
|
| 13031 |
\begin{align*}
\left (2 x -1\right ) y^{\prime \prime }-2 y^{\prime }+\left (3-2 x \right ) y&=2 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.056 |
|
| 13032 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (x \right )+1 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.056 |
|
| 13033 |
\begin{align*}
2 y+y^{\prime }&=1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.056 |
|
| 13034 |
\begin{align*}
y^{\prime }-3 y&=2 \,{\mathrm e}^{t} \\
y \left (1\right ) &= {\mathrm e}^{3}-{\mathrm e} \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.056 |
|
| 13035 |
\begin{align*}
2 t y^{\prime \prime }+\left (t +1\right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
1.057 |
|
| 13036 |
\begin{align*}
-a y-\left (a -\left (2-a \right ) x \right ) y^{\prime }+x \left (1+x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.057 |
|
| 13037 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.057 |
|
| 13038 |
\begin{align*}
y^{\prime \prime }+3 y&=\sin \left (x \right )+\frac {\sin \left (3 x \right )}{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.057 |
|
| 13039 |
\begin{align*}
\left (x^{2}-x \right ) y^{\prime \prime }+\left (3 x -2\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.057 |
|
| 13040 |
\begin{align*}
x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.057 |
|
| 13041 |
\begin{align*}
9 x^{2} y^{\prime \prime }+3 x \left (-2 x^{2}+3 x +5\right ) y^{\prime }+\left (-14 x^{2}+12 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.058 |
|
| 13042 |
\begin{align*}
y^{\prime }&=\frac {t^{2}+y^{2}}{1+t +y^{2}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.058 |
|
| 13043 |
\begin{align*}
2 y+2 \left (-x +2\right ) y^{\prime }+\left (-x +2\right )^{2} x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.058 |
|
| 13044 |
\begin{align*}
2 x y^{\prime \prime }+5 y^{\prime }+x y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.058 |
|
| 13045 |
\begin{align*}
y^{\prime \prime }+k y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.058 |
|
| 13046 |
\begin{align*}
x^{2} \left (1+3 x \right ) y^{\prime \prime }+x \left (x^{2}+12 x +2\right ) y^{\prime }+2 x \left (x +3\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.059 |
|
| 13047 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+2 x_{2}+54 t \,{\mathrm e}^{3 t} \\
x_{2}^{\prime }&=-2 x_{1}+4 x_{2}+9 \,{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.059 |
|
| 13048 |
\begin{align*}
{y^{\prime }}^{3}-{y^{\prime }}^{2}+x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.059 |
|
| 13049 |
\begin{align*}
x^{\prime }&=6 x-7 y+10 \\
y^{\prime }&=x-2 y-2 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.059 |
|
| 13050 |
\begin{align*}
x^{\prime }+2 y&=3 t \\
y^{\prime }-2 x&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.059 |
|
| 13051 |
\begin{align*}
-2 x y-2 \left (-x^{2}+1\right ) y^{\prime }+x \left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.060 |
|
| 13052 |
\begin{align*}
f^{\prime }&=\frac {1}{f} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.060 |
|
| 13053 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.060 |
|
| 13054 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }+16 y&=4 \\
y \left (0\right ) &= {\frac {5}{4}} \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.060 |
|
| 13055 |
\begin{align*}
4 y^{\prime \prime }+y&=2 \sec \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.060 |
|
| 13056 |
\begin{align*}
\left (1+x \right )^{2} y^{\prime \prime }+\left (1+x \right ) y^{\prime }&=\left (2 x +3\right ) \left (2 x +4\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.060 |
|
| 13057 |
\begin{align*}
y^{\prime \prime }+3 y&=x^{2}+1 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.060 |
|
| 13058 |
\begin{align*}
y^{\prime \prime }+9 y&=4 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.060 |
|
| 13059 |
\begin{align*}
y^{\prime \prime }+y&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.060 |
|
| 13060 |
\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*} |
✓ |
✓ |
✓ |
✓ |
1.061 |
|
| 13061 |
\begin{align*}
N_{1}^{\prime }&=4 N_{1}-6 N_{2} \\
N_{2}^{\prime }&=8 N_{1}-10 N_{2} \\
\end{align*}
With initial conditions \begin{align*}
N_{1} \left (0\right ) &= 100000 \\
N_{2} \left (0\right ) &= 1000 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.061 |
|
| 13062 |
\begin{align*}
t^{2} y^{\prime \prime }+5 t y^{\prime }-5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.062 |
|
| 13063 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (2 x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.062 |
|
| 13064 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.062 |
|
| 13065 |
\begin{align*}
x \ln \left (x \right ) y^{\prime }+y&=3 x^{3} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✓ |
1.062 |
|
| 13066 |
\begin{align*}
\left (4 a^{2} x^{2}+1\right ) y+4 x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.062 |
|
| 13067 |
\begin{align*}
-y^{\prime }+x y^{\prime \prime }&=6 x^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.062 |
|
| 13068 |
\begin{align*}
y^{\prime \prime \prime }&=\sqrt {1-{y^{\prime \prime }}^{2}} \\
\end{align*} |
✓ |
✗ |
✓ |
✓ |
1.062 |
|
| 13069 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (1+x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.062 |
|
| 13070 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-6 y&=0 \\
y \left (0\right ) &= 0 \\
y \left (1\right ) &= {\mathrm e}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.062 |
|
| 13071 |
\begin{align*}
y y^{\prime \prime }&=y^{\prime } \left (y^{\prime }+1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.062 |
|
| 13072 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}-x_{2}+1 \\
x_{2}^{\prime }&=2 x_{1}-x_{2}+5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.063 |
|
| 13073 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.063 |
|
| 13074 |
\begin{align*}
x^{4} y^{\prime \prime }&=-4 y^{2}+x^{2} y^{\prime } \left (x +y^{\prime }\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.063 |
|
| 13075 |
\begin{align*}
y {y^{\prime }}^{2}+2 x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.063 |
|
| 13076 |
\begin{align*}
2 x^{2} y^{\prime \prime }+x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.063 |
|
| 13077 |
\begin{align*}
y^{\prime \prime }+\frac {y}{4}&=\sec \left (\frac {t}{2}\right )+\csc \left (\frac {t}{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.063 |
|
| 13078 |
\begin{align*}
4 x^{\prime }+2 y^{\prime }+3 x&=E \sin \left (t \right ) \\
4 x+2 x^{\prime }+3 y&=0 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.063 |
|
| 13079 |
\begin{align*}
y^{\prime \prime }+9 y&=\cos \left (3 x \right )-\sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.063 |
|
| 13080 |
\begin{align*}
y^{\prime }+y&=8 \,{\mathrm e}^{-3 t} \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.063 |
|
| 13081 |
\begin{align*}
y^{\prime \prime }+y&=3 x \sin \left (x \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.064 |
|
| 13082 |
\begin{align*}
x^{\prime }&=x+2 y+z \\
y^{\prime }&=6 x-y \\
z^{\prime }&=-x-2 y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.064 |
|
| 13083 |
\begin{align*}
y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-y&=-t^{2}+2 t -10 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
1.064 |
|
| 13084 |
\begin{align*}
\frac {2 y}{3}+y^{\prime }&=1-\frac {t}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.065 |
|
| 13085 |
\begin{align*}
y^{\prime }+2 x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.065 |
|
| 13086 |
\begin{align*}
\left (1+y^{2}\right ) y^{\prime \prime }&=3 y {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.065 |
|
| 13087 |
\begin{align*}
x^{6} {y^{\prime }}^{3}-3 x y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.065 |
|
| 13088 |
\begin{align*}
x^{\prime }&=b \,{\mathrm e}^{x} \\
x \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.065 |
|
| 13089 |
\begin{align*}
x y^{\prime \prime }+3 y^{\prime }&=3 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.065 |
|
| 13090 |
\begin{align*}
x u^{\prime \prime }-\left ({\mathrm e}^{x} x^{2}+1\right ) u^{\prime }-x^{2} {\mathrm e}^{x} u&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.065 |
|
| 13091 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.065 |
|
| 13092 |
\begin{align*}
x y^{\prime \prime }-3 y^{\prime }-5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.065 |
|
| 13093 |
\begin{align*}
y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+32 y^{\prime \prime }+64 y^{\prime }+39 y&={\mathrm e}^{-2 x} \left (\left (4-15 x \right ) \cos \left (3 x \right )-\left (4+15 x \right ) \sin \left (3 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.066 |
|
| 13094 |
\begin{align*}
y^{\prime }-y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.066 |
|
| 13095 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.066 |
|
| 13096 |
\begin{align*}
x^{\prime }&=2 x+y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.066 |
|
| 13097 |
\begin{align*}
3 x^{2} y^{\prime \prime }+\left (-6 x^{2}+2\right ) y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.066 |
|
| 13098 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=x +{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.066 |
|
| 13099 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{3 x} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.066 |
|
| 13100 |
\begin{align*}
y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y&={\mathrm e}^{x}+{\mathrm e}^{2 x}+{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.066 |
|