| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 14801 |
\begin{align*}
y^{\prime \prime }+16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.675 |
|
| 14802 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2}-x_{3}+4 \,{\mathrm e}^{t} \\
x_{2}^{\prime }&=x_{1}+x_{2} \\
x_{3}^{\prime }&=3 x_{1}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.676 |
|
| 14803 |
\begin{align*}
y y^{\prime }-y&=A \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.676 |
|
| 14804 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.677 |
|
| 14805 |
\begin{align*}
2 y^{2} {y^{\prime }}^{2}+2 x y y^{\prime }-1+x^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.677 |
|
| 14806 |
\begin{align*}
y^{\prime }-2 y&=3 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.678 |
|
| 14807 |
\begin{align*}
y^{\prime }&=2 y \\
y \left (\ln \left (3\right )\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.678 |
|
| 14808 |
\begin{align*}
2 y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.678 |
|
| 14809 |
\begin{align*}
y^{\prime \prime }&=x \,{\mathrm e}^{x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.678 |
|
| 14810 |
\begin{align*}
3 x^{2} y^{\prime \prime }-2 x y^{\prime }-8 y&=5+3 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.678 |
|
| 14811 |
\begin{align*}
y^{\prime \prime }+4 y&=4 \operatorname {Heaviside}\left (t -\pi \right )+2 \delta \left (t -\pi \right ) \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.679 |
|
| 14812 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }-4 y&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.679 |
|
| 14813 |
\begin{align*}
y^{\prime }&=y-y^{2} \\
y \left (-1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
1.680 |
|
| 14814 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.681 |
|
| 14815 |
\begin{align*}
x^{\prime \prime }+x&=\delta \left (t -2\right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.681 |
|
| 14816 |
\begin{align*}
2 x y^{\prime \prime }+\left (x +1\right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.682 |
|
| 14817 |
\begin{align*}
x^{\prime \prime }-x^{\prime }&=6+{\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.682 |
|
| 14818 |
\begin{align*}
y^{\prime \prime }+\left (5+2 x \right ) y^{\prime }+\left (8+4 x \right ) y&={\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.682 |
|
| 14819 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }+x y^{\prime }-y&=-\left (x -1\right )^{2} {\mathrm e}^{x} \\
y \left (-\infty \right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.682 |
|
| 14820 |
\begin{align*}
y^{\prime }&=\tan \left (y\right )+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.683 |
|
| 14821 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.684 |
|
| 14822 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&=5 x +4 \,{\mathrm e}^{x} \left (1+\sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.684 |
|
| 14823 |
\begin{align*}
y^{\prime }-\sin \left (x +y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.684 |
|
| 14824 |
\begin{align*}
2 y^{\prime \prime }&=3 y^{2} \\
y \left (-2\right ) &= 1 \\
y^{\prime }\left (-2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.684 |
|
| 14825 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }-3 y&=x^{{3}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.685 |
|
| 14826 |
\begin{align*}
y^{\prime \prime }+y&=8 \cos \left (x \right ) \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.685 |
|
| 14827 |
\begin{align*}
y^{\prime }&=\left (x +y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.685 |
|
| 14828 |
\begin{align*}
\left (a^{2} x^{2}-1\right ) y^{\prime \prime }+2 a^{2} x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.685 |
|
| 14829 |
\begin{align*}
\frac {31 y^{\prime \prime \prime }}{100}+\frac {56 y^{\prime \prime }}{5}-\frac {49 y^{\prime }}{5}+\frac {53 y}{10}&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= -1 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.685 |
|
| 14830 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.685 |
|
| 14831 |
\begin{align*}
y^{\prime \prime }-\frac {a^{2} y^{\prime }}{x \left (a^{2}-x^{2}\right )}&=\frac {x^{2}}{a \left (a^{2}-x^{2}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.685 |
|
| 14832 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }-\left (6 x^{2}-3 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.686 |
|
| 14833 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }+2 x y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.686 |
|
| 14834 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.687 |
|
| 14835 |
\begin{align*}
x y^{\prime \prime }+\left (2 x +3\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.687 |
|
| 14836 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}&=y^{2} y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.687 |
|
| 14837 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+y&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.688 |
|
| 14838 |
\begin{align*}
x^{2} \left (2 x +1\right ) y^{\prime \prime }-x \left (9+8 x \right ) y^{\prime }-12 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.688 |
|
| 14839 |
\begin{align*}
y^{\prime \prime }+16 y&=0 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.688 |
|
| 14840 |
\begin{align*}
{y^{\prime }}^{2} x -\left (x -a \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.688 |
|
| 14841 |
\begin{align*}
\left (-x^{2}+2\right ) y+4 x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.689 |
|
| 14842 |
\begin{align*}
y {y^{\prime }}^{2}-x y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.689 |
|
| 14843 |
\begin{align*}
x^{2} y^{\prime \prime }&=\left (3 x -2 y^{\prime }\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.690 |
|
| 14844 |
\begin{align*}
3 x y^{\prime \prime }-\left (x -2\right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.690 |
|
| 14845 |
\begin{align*}
t y^{\prime \prime }+\left (t^{2}-1\right ) y^{\prime }+t^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.691 |
|
| 14846 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=30 \operatorname {Heaviside}\left (t -1\right ) {\mathrm e}^{1-t} \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -4 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.691 |
|
| 14847 |
\begin{align*}
-2 y+\left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.691 |
|
| 14848 |
\begin{align*}
y^{\prime \prime }-\cot \left (x \right ) y^{\prime }-y \sin \left (x \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.691 |
|
| 14849 |
\begin{align*}
y^{\prime \prime }-\left (1+2 \tan \left (x \right )^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.692 |
|
| 14850 |
\begin{align*}
y^{\prime }-a \left (t \right ) y&=\operatorname {Heaviside}\left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.692 |
|
| 14851 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.693 |
|
| 14852 |
\begin{align*}
{y^{\prime }}^{3} \sin \left (x \right )-\left (y \sin \left (x \right )-\cos \left (x \right )^{2}\right ) {y^{\prime }}^{2}-\left (y \cos \left (x \right )^{2}+\sin \left (x \right )\right ) y^{\prime }+y \sin \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.693 |
|
| 14853 |
\begin{align*}
y^{\prime }&=1+\left (y x +3 y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.693 |
|
| 14854 |
\begin{align*}
x^{\prime \prime }+x&=0 \\
x \left (\frac {\pi }{4}\right ) &= \sqrt {2} \\
x^{\prime }\left (\frac {\pi }{4}\right ) &= 2 \sqrt {2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.694 |
|
| 14855 |
\begin{align*}
2 x^{2} y^{\prime \prime }+x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.694 |
|
| 14856 |
\begin{align*}
x \left (x +3\right ) y^{\prime \prime }-9 y^{\prime }-6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.694 |
|
| 14857 |
\begin{align*}
\left (4 y^{3}-a y-b \right ) \left (y^{\prime \prime }+f y^{\prime }\right )-\left (6 y^{2}-\frac {a}{2}\right ) {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.694 |
|
| 14858 |
\begin{align*}
x^{\prime }&=1-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.694 |
|
| 14859 |
\begin{align*}
\left (2 y^{3}+5 x^{2} y\right ) y^{\prime }+5 x y^{2}+x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.695 |
|
| 14860 |
\begin{align*}
y^{\prime }&=y^{2}-4 y+2 \\
y \left (3\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.695 |
|
| 14861 |
\begin{align*}
x^{2} y^{\prime \prime }-11 x y^{\prime }+36 y&=0 \\
y \left (1\right ) &= {\frac {1}{2}} \\
y^{\prime }\left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.695 |
|
| 14862 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+\left (\frac {3}{2}-2 x \right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.697 |
|
| 14863 |
\begin{align*}
x^{\prime \prime }&=x-x^{3} \\
x \left (0\right ) &= 2 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.697 |
|
| 14864 |
\begin{align*}
\left (x +2\right )^{2} y^{\prime \prime }-\left (x +2\right ) y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.698 |
|
| 14865 |
\begin{align*}
3 y^{\prime \prime }&=\frac {1}{y^{{5}/{3}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.698 |
|
| 14866 |
\begin{align*}
x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.699 |
|
| 14867 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-8 x_{3}-3 x_{4} \\
x_{2}^{\prime }&=-18 x_{1}-x_{2} \\
x_{3}^{\prime }&=-9 x_{1}-3 x_{2}-25 x_{3}-9 x_{4} \\
x_{4}^{\prime }&=33 x_{1}+10 x_{2}+90 x_{3}+32 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.700 |
|
| 14868 |
\begin{align*}
y^{\prime \prime }+3 y&=\operatorname {Heaviside}\left (-4+t \right ) \cos \left (-20+5 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.700 |
|
| 14869 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.700 |
|
| 14870 |
\begin{align*}
t^{2} y^{\prime \prime }-3 t y^{\prime }+4 y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.701 |
|
| 14871 |
\begin{align*}
{y^{\prime }}^{2}+4 x^{5} y^{\prime }-12 x^{4} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.701 |
|
| 14872 |
\begin{align*}
9 {y^{\prime }}^{2}+3 x y^{4} y^{\prime }+y^{5}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.701 |
|
| 14873 |
\begin{align*}
x+3 t x^{2} x^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.701 |
|
| 14874 |
\begin{align*}
\left (x^{2} y^{2}-y x -2\right ) x y^{\prime }+\left (x^{2} y^{2}-1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.701 |
|
| 14875 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+5 y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.702 |
|
| 14876 |
\begin{align*}
y^{\prime \prime }+a^{2} y&=\sec \left (a x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.702 |
|
| 14877 |
\begin{align*}
q^{\prime \prime }+q&=t \sin \left (t \right )+\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.702 |
|
| 14878 |
\begin{align*}
y^{\prime }&=-1+{\mathrm e}^{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.703 |
|
| 14879 |
\begin{align*}
x^{2} y^{\prime \prime }+3 x y^{\prime }+5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.703 |
|
| 14880 |
\begin{align*}
y^{\prime }&=\tan \left (x \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.704 |
|
| 14881 |
\begin{align*}
t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y&=2 t^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.704 |
|
| 14882 |
\begin{align*}
y^{\prime \prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.705 |
|
| 14883 |
\begin{align*}
y^{\prime \prime }+25 y&=0 \\
y \left (0\right ) &= 10 \\
y^{\prime }\left (0\right ) &= -10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.705 |
|
| 14884 |
\begin{align*}
x y^{\prime \prime }+\left (-6+x \right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.705 |
|
| 14885 |
\begin{align*}
a y {y^{\prime }}^{2}+\left (2 x -b \right ) y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.705 |
|
| 14886 |
\begin{align*}
5 y x +2 y+5+2 x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.706 |
|
| 14887 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (x \right ) \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.706 |
|
| 14888 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.707 |
|
| 14889 |
\begin{align*}
2 y x -2 \left (x^{2}+1\right ) y^{\prime }+x \left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.707 |
|
| 14890 |
\begin{align*}
y^{\prime }&=a^{x +y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.707 |
|
| 14891 |
\begin{align*}
y^{\prime }-m y&=c \,{\mathrm e}^{m x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.708 |
|
| 14892 |
\begin{align*}
y^{\prime }-y&={\mathrm e}^{x^{2}+x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.708 |
|
| 14893 |
\begin{align*}
2 y {y^{\prime }}^{3}-y {y^{\prime }}^{2}+2 x y^{\prime }-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.709 |
|
| 14894 |
\begin{align*}
\left (\sin \left (\lambda x \right ) a +b \right ) y^{\prime }&=y^{2}+c \sin \left (\mu x \right ) y-d^{2}+c d \sin \left (\mu x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.709 |
|
| 14895 |
\begin{align*}
y^{\prime \prime }-8 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.709 |
|
| 14896 |
\begin{align*}
x^{2} \left (4 x -1\right ) y^{\prime \prime }+x \left (1+5 x \right ) y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.710 |
|
| 14897 |
\begin{align*}
x y^{\prime \prime }+\left (2-x \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.710 |
|
| 14898 |
\begin{align*}
y^{\prime \prime }&=-\frac {2 \left (x +a \right ) y^{\prime }}{x^{2}}-\frac {b y}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.710 |
|
| 14899 |
\begin{align*}
\left (\cos \left (\lambda x \right ) a +b \right ) y^{\prime }&=y^{2}+c \cos \left (\mu x \right ) y-d^{2}+c d \cos \left (\mu x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.710 |
|
| 14900 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+x y^{\prime }&=m^{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.710 |
|