| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 13901 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x +12\right ) y&=x^{2}+x \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.585 |
|
| 13902 |
\begin{align*}
y^{\prime \prime }&=y^{\prime } \left (1+y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.585 |
|
| 13903 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +56 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.585 |
|
| 13904 |
\begin{align*}
y \cos \left (t \right )+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.586 |
|
| 13905 |
\begin{align*}
y^{\prime \prime } x -4 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.586 |
|
| 13906 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (-x^{2}+1\right ) y&=x +1 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
2.586 |
|
| 13907 |
\begin{align*}
a^{2} {y^{\prime \prime }}^{2}-2 a x y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
2.586 |
|
| 13908 |
\begin{align*}
c y+\left (b x +a \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
2.587 |
|
| 13909 |
\begin{align*}
2 {y^{\prime }}^{2}+y^{\prime } x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.588 |
|
| 13910 |
\begin{align*}
{y^{\prime \prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.588 |
|
| 13911 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (-x^{2}+1\right ) y&=x^{4} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.589 |
|
| 13912 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.589 |
|
| 13913 |
\begin{align*}
1-\left (1+2 x \tan \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.590 |
|
| 13914 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\sin \left (x \right )}-\cos \left (x \right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.590 |
|
| 13915 |
\begin{align*}
x y y^{\prime \prime }+x {y^{\prime }}^{2}-y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.590 |
|
| 13916 |
\begin{align*}
4 x -2 y y^{\prime }+x {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.590 |
|
| 13917 |
\begin{align*}
y^{\prime \prime }-\left (4 a^{2} b^{2} x^{2} {\mathrm e}^{2 b \,x^{2}}-1\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
2.590 |
|
| 13918 |
\(\left [\begin {array}{cc} 6 & -2 \\ -3 & 4 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
2.591 |
|
| 13919 |
\begin{align*}
y^{\prime }&=\frac {x \left (x^{2}+1\right )}{4 y^{3}} \\
y \left (0\right ) &= -\frac {\sqrt {2}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.592 |
|
| 13920 |
\begin{align*}
y^{\prime \prime }+y&=\frac {1}{\cos \left (2 x \right )^{{3}/{2}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.592 |
|
| 13921 |
\begin{align*}
y^{\prime \prime }-2 \left (-1+x \right ) y^{\prime }+2 y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
2.592 |
|
| 13922 |
\begin{align*}
y^{\prime \prime }-y&=2 \,{\mathrm e}^{x}-x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.592 |
|
| 13923 |
\begin{align*}
2 \left (1-x \right ) x \left (1-y\right ) \left (x -y\right ) y y^{\prime \prime }&=-y^{2} \left (1-y^{2}\right )+2 \left (1-y\right ) y \left (x^{2}+y-2 y x \right ) y^{\prime }+\left (1-x \right ) x \left (x -2 y-2 y x +3 y^{2}\right ) {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
2.593 |
|
| 13924 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+y x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.593 |
|
| 13925 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }+16 y&=0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
2.594 |
|
| 13926 |
\begin{align*}
y^{\prime \prime } x -y^{\prime }-4 x^{3} y&=8 x^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.595 |
|
| 13927 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.595 |
|
| 13928 |
\begin{align*}
y^{\prime }&=\frac {x^{2}-2 x^{2} y+2}{x^{3}} \\
y \left (1\right ) &= {\frac {3}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.596 |
|
| 13929 |
\begin{align*}
x \left (x +3\right ) y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }+y-\left (20 x +30\right ) \left (x^{2}+3 x \right )^{{7}/{3}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.596 |
|
| 13930 |
\begin{align*}
{y^{\prime }}^{2} \left (x +\sin \left (y^{\prime }\right )\right )&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.598 |
|
| 13931 |
\begin{align*}
y^{\prime }-3 y&=27 t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.598 |
|
| 13932 |
\begin{align*}
{\mathrm e}^{t} \sin \left (y\right )+\left (1+{\mathrm e}^{t} \cos \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.598 |
|
| 13933 |
\begin{align*}
y^{\prime }+\frac {y}{x}&=\frac {2}{x^{2}}+1 \\
y \left (-1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.599 |
|
| 13934 |
\begin{align*}
3 t^{2}+4 t y+\left (2 y+2 t^{2}\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.599 |
|
| 13935 |
\begin{align*}
y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.599 |
|
| 13936 |
\begin{align*}
y^{\prime } t +y&=t \sin \left (t \right ) \\
y \left (\pi \right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.599 |
|
| 13937 |
\begin{align*}
y^{\prime }+4 y&=8 \cos \left (4 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.599 |
|
| 13938 |
\begin{align*}
-y+\left (x +1\right ) y^{\prime }+2 \left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.599 |
|
| 13939 |
\begin{align*}
y+y^{\prime } x +\left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime \prime }+x \left (\operatorname {b0} x +\operatorname {a0} \right ) y^{\prime \prime \prime }&=f \left (x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
2.600 |
|
| 13940 |
\begin{align*}
y \left (y-2 y^{\prime } x \right )^{2}&=2 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.601 |
|
| 13941 |
\begin{align*}
4 t y+\left (t^{2}+1\right ) y^{\prime }&=t \\
y \left (1\right ) &= {\frac {1}{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.602 |
|
| 13942 |
\begin{align*}
y^{\prime }-y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.602 |
|
| 13943 |
\begin{align*}
y^{\prime \prime }+\left (2 x^{2}+a \right ) y^{\prime }+\left (x^{4}+a \,x^{2}+b +2 x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.602 |
|
| 13944 |
\begin{align*}
x^{2}+2 y+4 \left (x +y\right ) y^{\prime }+2 x {y^{\prime }}^{2}+x \left (x +2 y\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.602 |
|
| 13945 |
\begin{align*}
y^{\prime \prime } x -y^{\prime }&=6 x^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.602 |
|
| 13946 |
\begin{align*}
\left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}-2 y y^{\prime } x +y^{2}-b^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.602 |
|
| 13947 |
\begin{align*}
\left (1-\frac {1}{x}\right ) u^{\prime \prime }+\left (\frac {2}{x}-\frac {2}{x^{2}}-\frac {1}{x^{3}}\right ) u^{\prime }-\frac {u}{x^{4}}&=\frac {2}{x}-\frac {2}{x^{2}}-\frac {2}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.602 |
|
| 13948 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.602 |
|
| 13949 |
\begin{align*}
x^{2} y^{\prime \prime }&=y^{\prime } \left (2 x -y^{\prime }\right ) \\
y \left (-1\right ) &= 5 \\
y^{\prime }\left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.602 |
|
| 13950 |
\begin{align*}
x^{2} y^{\prime \prime }-4 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.603 |
|
| 13951 |
\begin{align*}
\frac {1-4 x y^{2}}{x^{\prime }}&=y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.604 |
|
| 13952 |
\begin{align*}
y+y^{\prime }&=\cos \left (t \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.604 |
|
| 13953 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.605 |
|
| 13954 |
\begin{align*}
y_{1}^{\prime }-6 y_{1}&=-4 y_{2} \\
y_{2}^{\prime }&=2 y_{1} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 2 \\
y_{2} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.605 |
|
| 13955 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&=2 \,{\mathrm e}^{x} \left (\cos \left (x \right )+\sin \left (x \right )\right ) \\
y \left (\pi \right ) &= \pi \,{\mathrm e}^{\pi } \\
y^{\prime }\left (\pi \right ) &= {\mathrm e}^{\pi } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.605 |
|
| 13956 |
\begin{align*}
x \left (2+x \right ) y^{\prime \prime }+\left (x +1\right ) y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.606 |
|
| 13957 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime }&={\mathrm e}^{x}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.606 |
|
| 13958 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.608 |
|
| 13959 |
\begin{align*}
-8 x^{3} y-\left (2 x^{2}+1\right ) y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.609 |
|
| 13960 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (-x^{2}+1\right ) y&=\cos \left (x \right )+\sin \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
2.609 |
|
| 13961 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (1-x \right ) y^{\prime }+\frac {y}{16}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.609 |
|
| 13962 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{3 x} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.609 |
|
| 13963 |
\begin{align*}
x^{2}+y+\left ({\mathrm e}^{y}+x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.611 |
|
| 13964 |
\begin{align*}
2 y a^{2} b^{2}+2 \left (a^{2}+b^{2}\right ) y^{\prime \prime }+2 y^{\prime \prime \prime \prime }&=\cos \left (a x \right )+\cos \left (b x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.611 |
|
| 13965 |
\begin{align*}
y^{\prime }&=\frac {3 t^{2}+4 t +2}{-2+2 y} \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.612 |
|
| 13966 |
\begin{align*}
y^{\prime \prime }+\left ({\mathrm e}^{x}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.612 |
|
| 13967 |
\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*} |
✓ |
✓ |
✓ |
✓ |
2.612 |
|
| 13968 |
\begin{align*}
y^{\prime \prime }+x^{2} y^{\prime }+2 y x&=10 x^{3}-2 x +5 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.612 |
|
| 13969 |
\begin{align*}
y^{\prime \prime }&=4 \sin \left (x \right )-4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.612 |
|
| 13970 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
2.612 |
|
| 13971 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=4 x^{2} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.613 |
|
| 13972 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=2 \cos \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.614 |
|
| 13973 |
\begin{align*}
y^{\prime }+c y&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.614 |
|
| 13974 |
\begin{align*}
y^{\prime }&=\cos \left (x \right )-\tan \left (x \right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.615 |
|
| 13975 |
\begin{align*}
y^{\prime }&=1+y \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.615 |
|
| 13976 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.615 |
|
| 13977 |
\begin{align*}
y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.615 |
|
| 13978 |
\begin{align*}
\left (x^{2}-2 x \right ) y^{\prime \prime }+\left (1+3 x \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.615 |
|
| 13979 |
\begin{align*}
4 y^{\prime \prime }-\left (x^{2}+a \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
2.616 |
|
| 13980 |
\begin{align*}
y^{\prime \prime }+9 y&={\mathrm e}^{3 x}+{\mathrm e}^{-3 x}+{\mathrm e}^{3 x} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.616 |
|
| 13981 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{-x^{2}} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.616 |
|
| 13982 |
\begin{align*}
y^{\prime }+\frac {y}{x}&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.617 |
|
| 13983 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.617 |
|
| 13984 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (-x^{2}+1\right ) y&=1+\sin \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
2.617 |
|
| 13985 |
\begin{align*}
y^{\prime \prime }+y&=2 \cos \left (x \right )-2 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.617 |
|
| 13986 |
\begin{align*}
\left (a t +1\right ) y^{\prime }+y&=t \\
y \left (1\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
2.618 |
|
| 13987 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x -3 y&=-\frac {16 \ln \left (x \right )}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.618 |
|
| 13988 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{x}+n^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.618 |
|
| 13989 |
\(\left [\begin {array}{cc} -13 & 1 \\ 1 & 4 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
2.618 |
|
| 13990 |
\begin{align*}
y^{\prime }&=\frac {4 x^{3}+1}{y \left (2+3 y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.619 |
|
| 13991 |
\begin{align*}
y^{\prime }&=\sec \left (x \right )^{2}+y \sec \left (x \right ) \operatorname {Csx} \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.619 |
|
| 13992 |
\begin{align*}
y&=x^{6} {y^{\prime }}^{3}-y^{\prime } x \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
2.619 |
|
| 13993 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (-x^{2}+1\right ) y&=x^{2}+x +1 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
2.619 |
|
| 13994 |
\begin{align*}
2 x^{2} y^{\prime \prime }-y^{\prime } x +\left (-x^{2}+1\right ) y&=x^{2} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
2.619 |
|
| 13995 |
\(\left [\begin {array}{cc} -3 & 5 \\ 5 & 4 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
2.619 |
|
| 13996 |
\begin{align*}
2 y+y^{\prime } t&=\frac {\sin \left (t \right )}{t} \\
y \left (-\frac {\pi }{2}\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.620 |
|
| 13997 |
\begin{align*}
2 x^{2} y^{\prime \prime }+y^{\prime } x -\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.621 |
|
| 13998 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=x^{2} \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
2.621 |
|
| 13999 |
\begin{align*}
y^{\prime \prime } x -3 y^{\prime } x +\sin \left (x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
2.621 |
|
| 14000 |
\begin{align*}
\left (1+\ln \left (y\right )\right ) {y^{\prime }}^{2}+\left (1-\ln \left (y\right )\right ) y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
2.621 |
|