| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 14001 |
\begin{align*}
x {y^{\prime }}^{2} y^{\prime \prime }-{y^{\prime }}^{3}&=\frac {x^{4}}{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.415 |
|
| 14002 |
\begin{align*}
x^{\prime \prime }+3025 x&=\cos \left (45 t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.416 |
|
| 14003 |
\begin{align*}
y^{\prime \prime }+\frac {3 y^{\prime }}{x}+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.416 |
|
| 14004 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&=\left \{\begin {array}{cc} -2 & 0\le t <3 \\ 0 & 3\le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
1.416 |
|
| 14005 |
\begin{align*}
-a \left (2+a \right ) y+4 a x y^{\prime }+4 \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.417 |
|
| 14006 |
\begin{align*}
x^{\prime }&=\frac {x^{2}+x}{2 x+1} \\
x \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.417 |
|
| 14007 |
\begin{align*}
y^{\prime \prime }+9 y&=\csc \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.418 |
|
| 14008 |
\begin{align*}
-\left (x +1\right ) y+y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.418 |
|
| 14009 |
\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*} |
✓ |
✓ |
✓ |
✓ |
1.418 |
|
| 14010 |
\begin{align*}
x y^{\prime \prime }&=y^{\prime }+x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.418 |
|
| 14011 |
\begin{align*}
-y+\left (x +1\right ) y^{\prime }+2 x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.418 |
|
| 14012 |
\begin{align*}
y^{\prime }+2 y&=-6 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.418 |
|
| 14013 |
\begin{align*}
x^{\prime }&=x+y+t \\
y^{\prime }&=x-2 y+2 t \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= -{\frac {7}{9}} \\
y \left (0\right ) &= -{\frac {5}{9}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.418 |
|
| 14014 |
\begin{align*}
x^{2} y^{\prime \prime }+25 x y^{\prime }+144 y&=0 \\
y \left (1\right ) &= -4 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.418 |
|
| 14015 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.419 |
|
| 14016 |
\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*} |
✓ |
✓ |
✓ |
✗ |
1.419 |
|
| 14017 |
\begin{align*}
-\left (-x^{2}-x +1\right ) y-\left (2 x +1\right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.420 |
|
| 14018 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}+x_{2}+x_{3}+7 x_{4} \\
x_{2}^{\prime }&=x_{1}+4 x_{2}+10 x_{3}+x_{4} \\
x_{3}^{\prime }&=x_{1}+10 x_{2}+4 x_{3}+x_{4} \\
x_{4}^{\prime }&=7 x_{1}+x_{2}+x_{3}+4 x_{4} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 3 \\
x_{2} \left (0\right ) &= 1 \\
x_{3} \left (0\right ) &= 1 \\
x_{4} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.421 |
|
| 14019 |
\begin{align*}
x_{1}^{\prime }&=-x_{2} \\
x_{2}^{\prime }&=x_{1} \\
x_{3}^{\prime }&=x_{1}+2 x_{3}+x_{4} \\
x_{4}^{\prime }&=x_{2}+2 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.421 |
|
| 14020 |
\begin{align*}
x^{\prime }+2 x-y&=100 \sin \left (t \right ) \\
y^{\prime }-4 x-y&=36 t \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= -8 \\
y \left (0\right ) &= -21 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.421 |
|
| 14021 |
\begin{align*}
y^{\prime \prime }&=x {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.421 |
|
| 14022 |
\begin{align*}
y^{\prime }&=2-y \\
y \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.421 |
|
| 14023 |
\begin{align*}
3 x-y^{\prime }-2 y&=8 t \\
x^{\prime }-2 x+y&=16 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.423 |
|
| 14024 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x^{3}+2 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.423 |
|
| 14025 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x+\cos \left (w t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.424 |
|
| 14026 |
\begin{align*}
3 x^{\prime }+2 y^{\prime }&=\sin \left (t \right ) \\
x^{\prime }-2 y^{\prime }&=x+y+t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.424 |
|
| 14027 |
\begin{align*}
y^{\prime }+y x&=3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.424 |
|
| 14028 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1} \\
x_{2}^{\prime }&=-21 x_{1}-5 x_{2}-27 x_{3}-9 x_{4} \\
x_{3}^{\prime }&=5 x_{3} \\
x_{4}^{\prime }&=-21 x_{3}-2 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.425 |
|
| 14029 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.425 |
|
| 14030 |
\begin{align*}
y^{\prime \prime }+9 y&=\tan \left (3 t \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.425 |
|
| 14031 |
\begin{align*}
4 y+y^{\prime \prime }&={\mathrm e}^{x}+4 \sin \left (2 x \right )+2 \cos \left (x \right )^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.425 |
|
| 14032 |
\begin{align*}
y^{\prime \prime }-y^{\prime }&=4 x^{2}+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.425 |
|
| 14033 |
\begin{align*}
3 \left (1-y\right ) y y^{\prime \prime }&=2 \left (-2 y+1\right ) {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.426 |
|
| 14034 |
\begin{align*}
\left (x^{2}-1\right )^{2} y^{\prime \prime }+\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.426 |
|
| 14035 |
\begin{align*}
2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime }&=\frac {-x^{2}+1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.428 |
|
| 14036 |
\begin{align*}
2 x^{2} y^{\prime \prime }+x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.428 |
|
| 14037 |
\begin{align*}
v^{\prime \prime }+\frac {2 x v^{\prime }}{x^{2}+1}+\frac {v}{\left (x^{2}+1\right )^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.428 |
|
| 14038 |
\begin{align*}
y \left (y-2 x y^{\prime }\right )^{2}&=2 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.429 |
|
| 14039 |
\begin{align*}
y^{\prime }&=1-\cot \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.430 |
|
| 14040 |
\begin{align*}
y^{\prime }&=\ln \left (1+y^{2}\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.431 |
|
| 14041 |
\begin{align*}
x y^{\prime \prime }+\left (-6+x \right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.431 |
|
| 14042 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=-32 t^{2} \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.431 |
|
| 14043 |
\begin{align*}
y^{\prime }&=\left (x +y+1\right )^{2}-\left (x +y-1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.432 |
|
| 14044 |
\begin{align*}
-y^{\prime }+x y^{\prime \prime }&=-\frac {2}{x}-\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.432 |
|
| 14045 |
\begin{align*}
y^{\prime }+a y-c \,{\mathrm e}^{b x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.432 |
|
| 14046 |
\begin{align*}
y^{\prime \prime }+a^{2} \sin \left (y\right )-\beta \sin \left (x \right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.432 |
|
| 14047 |
\begin{align*}
x^{\prime }-2 x+y&={\mathrm e}^{-t} \\
y^{\prime }-3 x+2 y&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.432 |
|
| 14048 |
\begin{align*}
\left (-2 x^{2}+1\right ) y+4 x^{3} \left (2 x^{2}+1\right ) y^{\prime }+4 x^{6} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.434 |
|
| 14049 |
\begin{align*}
c y^{2}+b x y y^{\prime }+a \,x^{2} {y^{\prime }}^{2}+x^{2} y y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.434 |
|
| 14050 |
\begin{align*}
\left (x^{2}-x \right ) y^{\prime \prime }+\left (4 x +2\right ) y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.434 |
|
| 14051 |
\begin{align*}
y^{\prime }&=\sin \left (\frac {x}{2}\right ) \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.434 |
|
| 14052 |
\begin{align*}
y^{\prime \prime }+\frac {x y^{\prime }}{1-x}-\frac {y}{1-x}&=x -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.434 |
|
| 14053 |
\begin{align*}
{\mathrm e}^{x} \sec \left (y\right )+\left (1+{\mathrm e}^{x}\right ) \sec \left (y\right ) \tan \left (y\right ) y^{\prime }&=0 \\
y \left (3\right ) &= \frac {\pi }{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.434 |
|
| 14054 |
\begin{align*}
4 y^{\prime \prime }-4 y^{\prime }+y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.434 |
|
| 14055 |
\begin{align*}
y^{\prime \prime }&=6 \sin \left (3 t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.434 |
|
| 14056 |
\begin{align*}
y^{\prime }+20 y&=24 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.434 |
|
| 14057 |
\begin{align*}
y^{\prime \prime }&=f \left (a x +b y, y^{\prime }\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.435 |
|
| 14058 |
\begin{align*}
y^{\prime }-2 y&=-10 \\
y \left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.435 |
|
| 14059 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=0 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.435 |
|
| 14060 |
\begin{align*}
y^{\prime \prime }&=-\frac {y}{\left (a x +b \right )^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.436 |
|
| 14061 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }&=\left (x -1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.436 |
|
| 14062 |
\begin{align*}
x&=y \left (y^{\prime }+\frac {1}{y^{\prime }}\right )+{y^{\prime }}^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.436 |
|
| 14063 |
\begin{align*}
x y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.437 |
|
| 14064 |
\begin{align*}
x^{\prime }&=\left (x-1\right ) \left (1-2 x\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.437 |
|
| 14065 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.437 |
|
| 14066 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+2 x \left (x^{2}+3\right ) y^{\prime }+6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.437 |
|
| 14067 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+\frac {8}{9}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.437 |
|
| 14068 |
\begin{align*}
16 y-7 x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.437 |
|
| 14069 |
\begin{align*}
t y^{\prime \prime }+2 y^{\prime }+y t&=-t \\
y \left (\pi \right ) &= -1 \\
y^{\prime }\left (\pi \right ) &= -\frac {1}{\pi } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.437 |
|
| 14070 |
\begin{align*}
x y^{\prime }-y&=\left (x -1\right ) \left (y^{\prime \prime }-x +1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.437 |
|
| 14071 |
\begin{align*}
y^{\prime \prime }-y^{\prime }&=6 x^{5} {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.437 |
|
| 14072 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+x_{2}+x_{3}-2 x_{4} \\
x_{2}^{\prime }&=7 x_{1}-4 x_{2}-6 x_{3}+11 x_{4} \\
x_{3}^{\prime }&=5 x_{1}-x_{2}+x_{3}+3 x_{4} \\
x_{4}^{\prime }&=6 x_{1}-2 x_{2}-2 x_{3}+6 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.438 |
|
| 14073 |
\begin{align*}
Q^{\prime }&=\frac {Q}{4+Q^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.438 |
|
| 14074 |
\begin{align*}
\left (x^{2}-3 x +1\right ) y^{\prime \prime }-\left (x^{2}-x -2\right ) y^{\prime }+\left (2 x -3\right ) y&=x \left (x^{2}-3 x +1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.438 |
|
| 14075 |
\begin{align*}
t y^{\prime \prime }-y^{\prime }&=3 t^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.438 |
|
| 14076 |
\begin{align*}
y^{\prime \prime }&=1 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.438 |
|
| 14077 |
\begin{align*}
1+y^{2} \sin \left (2 x \right )-2 y \cos \left (x \right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.439 |
|
| 14078 |
\begin{align*}
x^{2} \left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.439 |
|
| 14079 |
\begin{align*}
x^{\prime }&=x+5 y+10 \sinh \left (t \right ) \\
y^{\prime }&=19 x-13 y+24 \sinh \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.439 |
|
| 14080 |
\begin{align*}
\left (b +c \,x^{2 k}\right ) y+a x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.440 |
|
| 14081 |
\begin{align*}
\left (x^{4}+2 x^{2}+1\right ) y+4 x^{3} y^{\prime }+4 x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.440 |
|
| 14082 |
\begin{align*}
{y^{\prime }}^{2}-3 x y^{{2}/{3}} y^{\prime }+9 y^{{5}/{3}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.440 |
|
| 14083 |
\begin{align*}
y^{\prime }&=\cos \left (x -y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.441 |
|
| 14084 |
\begin{align*}
y y^{\prime }+x&=y^{2} \left (1+{y^{\prime }}^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.441 |
|
| 14085 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-2 x_{2}-x_{3} \\
x_{2}^{\prime }&=-x_{1}+x_{2}+x_{3}+12 t \\
x_{3}^{\prime }&=x_{1}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.442 |
|
| 14086 |
\begin{align*}
x y^{\prime \prime }-\left (a x +1\right ) y^{\prime }-b \,x^{2} \left (b x +a \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.442 |
|
| 14087 |
\begin{align*}
4 x^{\prime }-y^{\prime }+3 x&=\sin \left (t \right ) \\
x^{\prime }+y&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.442 |
|
| 14088 |
\begin{align*}
y^{\prime }&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.442 |
|
| 14089 |
\begin{align*}
2 y^{\prime \prime \prime }-3 {y^{\prime }}^{2}&=0 \\
y \left (0\right ) &= -3 \\
y^{\prime }\left (0\right ) &= 1 \\
y^{\prime \prime }\left (0\right ) &= -1 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
1.442 |
|
| 14090 |
\begin{align*}
3 y-\left (x +3\right ) y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.443 |
|
| 14091 |
\begin{align*}
x^{2} y^{\prime \prime }+4 x y^{\prime }-10 y&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.443 |
|
| 14092 |
\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*} |
✓ |
✓ |
✓ |
✓ |
1.444 |
|
| 14093 |
\begin{align*}
n \left (n +2\right ) y-3 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.444 |
|
| 14094 |
\begin{align*}
y+x^{3} y^{\prime }+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.444 |
|
| 14095 |
\begin{align*}
2 x^{2} y^{\prime \prime }+\left (x^{2}+5 x \right ) y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.444 |
|
| 14096 |
\begin{align*}
x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.444 |
|
| 14097 |
\begin{align*}
\frac {t x^{\prime \prime }+x^{\prime }}{t}&=-2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.444 |
|
| 14098 |
\begin{align*}
{y^{\prime }}^{2} x -2 y y^{\prime }+a x&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
1.444 |
|
| 14099 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-6 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.444 |
|
| 14100 |
\begin{align*}
2 x^{\prime }-3 y+y^{\prime }&=0 \\
x^{\prime }+y^{\prime }&=t \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.444 |
|