| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 15001 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime \prime }&=\left (1+y^{2}\right ) \left (x y^{\prime }-y\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.755 |
|
| 15002 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.755 |
|
| 15003 |
\begin{align*}
b y+a y {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.755 |
|
| 15004 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (-\nu ^{2}+x^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.756 |
|
| 15005 |
\begin{align*}
y {y^{\prime }}^{2}+a x y^{\prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.757 |
|
| 15006 |
\begin{align*}
y^{\prime }&=x^{2}+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.757 |
|
| 15007 |
\begin{align*}
\left (x^{2}+y^{2}\right ) y^{\prime }&=4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.757 |
|
| 15008 |
\begin{align*}
y^{\prime }+2 y x&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.758 |
|
| 15009 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (3 x^{2}+a \right ) y^{\prime }}{x^{3}}-\frac {b y}{x^{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.758 |
|
| 15010 |
\begin{align*}
4 {y^{\prime }}^{2} x +4 y y^{\prime }&=y^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.758 |
|
| 15011 |
\begin{align*}
y^{\prime }&=\ln \left (x -y\right ) \\
y \left (3\right ) &= \pi \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.758 |
|
| 15012 |
\begin{align*}
x_{1}^{\prime }&=11 x_{1}-x_{2}+26 x_{3}+6 x_{4}-3 x_{5} \\
x_{2}^{\prime }&=3 x_{2} \\
x_{3}^{\prime }&=-9 x_{1}-24 x_{3}-6 x_{4}+3 x_{5} \\
x_{4}^{\prime }&=3 x_{1}+9 x_{3}+5 x_{4}-x_{5} \\
x_{5}^{\prime }&=-48 x_{1}-3 x_{2}-138 x_{3}-30 x_{4}+18 x_{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.759 |
|
| 15013 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+y x -1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.759 |
|
| 15014 |
\begin{align*}
y^{\prime \prime }+a^{2} y-\cot \left (a x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.759 |
|
| 15015 |
\begin{align*}
y^{\prime }&=y^{2}-m y \tan \left (x \right )+b^{2} \cos \left (x \right )^{2 m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.759 |
|
| 15016 |
\begin{align*}
x_{1}^{\prime }&=-8 x_{1}-16 x_{2}-16 x_{3}-17 x_{4} \\
x_{2}^{\prime }&=-2 x_{1}-10 x_{2}-8 x_{3}-7 x_{4} \\
x_{3}^{\prime }&=-2 x_{1}-2 x_{3}-3 x_{4} \\
x_{4}^{\prime }&=6 x_{1}+14 x_{2}+14 x_{3}+14 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.759 |
|
| 15017 |
\begin{align*}
-6 y x -y^{\prime }+x \left (x^{2}+2\right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.759 |
|
| 15018 |
\begin{align*}
8 {y^{\prime }}^{3}&=27 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.759 |
|
| 15019 |
\begin{align*}
2 x y^{\prime \prime }+y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.760 |
|
| 15020 |
\begin{align*}
v^{\prime }&=2 V \left (t \right )-2 v \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.760 |
|
| 15021 |
\begin{align*}
t^{2} y^{\prime \prime }+3 t y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.761 |
|
| 15022 |
\begin{align*}
y^{\prime }&=5 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.761 |
|
| 15023 |
\begin{align*}
y^{\prime }+y&={\mathrm e}^{x} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.762 |
|
| 15024 |
\begin{align*}
\left (-2 x^{2}-3 y x \right ) y^{\prime }+y^{2}&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.762 |
|
| 15025 |
\begin{align*}
y^{\prime }+y&={\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.763 |
|
| 15026 |
\begin{align*}
{y^{\prime }}^{3}+{y^{\prime }}^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.763 |
|
| 15027 |
\begin{align*}
4 x \left (1-x \right ) y^{\prime \prime }-4 y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.763 |
|
| 15028 |
\begin{align*}
y^{\prime }&=\frac {x}{-y+F \left (x^{2}+y^{2}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.763 |
|
| 15029 |
\begin{align*}
-a b y+\left (c -\left (a +b +1\right ) x \right ) y^{\prime }+x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.763 |
|
| 15030 |
\begin{align*}
x^{\prime \prime }+x&=0 \\
x \left (\frac {\pi }{2}\right ) &= 0 \\
x^{\prime }\left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.763 |
|
| 15031 |
\begin{align*}
-2 y+3 y^{\prime }&={\mathrm e}^{-\frac {\pi t}{2}} \\
y \left (0\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.764 |
|
| 15032 |
\begin{align*}
y^{\prime }-2 y-y^{2} {\mathrm e}^{3 x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.764 |
|
| 15033 |
\begin{align*}
y^{\prime }&=k y+f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.764 |
|
| 15034 |
\begin{align*}
y^{\prime }&=1+2 y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.765 |
|
| 15035 |
\begin{align*}
5 x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.765 |
|
| 15036 |
\begin{align*}
\left (t -2\right )^{2} y^{\prime \prime }+5 \left (t -2\right ) y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.766 |
|
| 15037 |
\begin{align*}
y^{\prime \prime }+4 y&=\operatorname {Heaviside}\left (t -2 \pi \right ) \sin \left (t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.766 |
|
| 15038 |
\begin{align*}
x^{4} {y^{\prime }}^{2}+2 x^{3} y y^{\prime }-4&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.766 |
|
| 15039 |
\begin{align*}
x^{\prime \prime \prime }-x^{\prime }&=0 \\
x \left (0\right ) &= 1 \\
x \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
1.766 |
|
| 15040 |
\begin{align*}
y^{\prime }&=f \left (x \right ) g \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.767 |
|
| 15041 |
\begin{align*}
x^{\prime \prime }+x&=3 \delta \left (t -2 \pi \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.767 |
|
| 15042 |
\begin{align*}
y^{\prime }&=\frac {1}{y} \\
y \left (-2\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.767 |
|
| 15043 |
\begin{align*}
y^{\prime }-\frac {2 y}{x}-x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.768 |
|
| 15044 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+2 x y^{\prime }-a&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.768 |
|
| 15045 |
\begin{align*}
y^{\prime }+y&={\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.769 |
|
| 15046 |
\begin{align*}
y^{\prime }&=1-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.769 |
|
| 15047 |
\begin{align*}
y&=x \left (y^{\prime }-x \cos \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.769 |
|
| 15048 |
\begin{align*}
y^{\prime }&=x^{2}-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.770 |
|
| 15049 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+5 x_{2}+3 x_{3}-5 x_{4} \\
x_{2}^{\prime }&=2 x_{1}+3 x_{2}+2 x_{3}-4 x_{4} \\
x_{3}^{\prime }&=-x_{2}-2 x_{3}+x_{4} \\
x_{4}^{\prime }&=2 x_{1}+4 x_{2}+2 x_{3}-5 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.770 |
|
| 15050 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }-3 y&=\operatorname {Heaviside}\left (x -4\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.771 |
|
| 15051 |
\begin{align*}
s^{\prime }&=k s \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.771 |
|
| 15052 |
\begin{align*}
t^{3} x^{\prime \prime }-\left (t^{3}+2 t^{2}-t \right ) x^{\prime }+\left (t^{2}+t -1\right ) x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.771 |
|
| 15053 |
\begin{align*}
\left (x +2\right )^{2} y^{\prime \prime }+3 \left (x +2\right ) y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.771 |
|
| 15054 |
\begin{align*}
y^{\prime \prime }+a^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.771 |
|
| 15055 |
\begin{align*}
y^{\prime \prime }+9 y&=\operatorname {Heaviside}\left (t -2 \pi \right ) \sin \left (t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.771 |
|
| 15056 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
y \left (-1\right ) &= 5 \\
y^{\prime }\left (-1\right ) &= -5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.771 |
|
| 15057 |
\begin{align*}
\left (a^{2}+x^{2}\right ) y^{\prime \prime }+2 b x y^{\prime }+b \left (b -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.772 |
|
| 15058 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+\frac {a^{2} y}{-x^{2}+1}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.772 |
|
| 15059 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.773 |
|
| 15060 |
\begin{align*}
\left (x^{2}+x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-\left (x +2\right ) y&=x \left (x +1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.773 |
|
| 15061 |
\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*} |
✓ |
✓ |
✗ |
✗ |
1.773 |
|
| 15062 |
\begin{align*}
x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y&=x^{{1}/{4}} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.773 |
|
| 15063 |
\begin{align*}
-2 y+y^{\prime }&=7 \,{\mathrm e}^{2 t} \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.775 |
|
| 15064 |
\begin{align*}
y^{\prime }&=3 y+2 \,{\mathrm e}^{3 t} \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.775 |
|
| 15065 |
\begin{align*}
{y^{\prime \prime \prime }}^{2}+{y^{\prime \prime }}^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.775 |
|
| 15066 |
\begin{align*}
{y^{\prime }}^{3}-\left (b x +a \right ) y^{\prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.776 |
|
| 15067 |
\begin{align*}
-\left (a^{2}+1\right ) y-2 \tan \left (x \right ) y^{\prime }+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.776 |
|
| 15068 |
\begin{align*}
y^{\prime \prime }-\left (a^{2} {\mathrm e}^{2 x}+a \left (2 b +1\right ) {\mathrm e}^{x}+b^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.776 |
|
| 15069 |
\begin{align*}
\left (2 x^{3}-1\right ) y^{\prime \prime }-6 x^{2} y^{\prime }+6 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.776 |
|
| 15070 |
\begin{align*}
{y^{\prime }}^{2} x +x y y^{\prime \prime }&=3 y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.776 |
|
| 15071 |
\begin{align*}
x y^{\prime \prime }-2 \left (x +2\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 15072 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 15073 |
\begin{align*}
x y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 15074 |
\begin{align*}
y^{\prime }&=x -3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 15075 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&=\left (x +{\mathrm e}^{x}\right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.777 |
|
| 15076 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\
y \left (1\right ) &= 3 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.779 |
|
| 15077 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (2 x \right )^{2}+\sin \left (\frac {x}{2}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.779 |
|
| 15078 |
\begin{align*}
y^{\prime \prime }+2 \cot \left (x \right ) y^{\prime }+2 \tan \left (x \right ) {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
1.780 |
|
| 15079 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.781 |
|
| 15080 |
\begin{align*}
-y+y^{\prime }&=4 \operatorname {Heaviside}\left (t -\frac {\pi }{4}\right ) \sin \left (t +\frac {\pi }{4}\right ) \\
y \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.781 |
|
| 15081 |
\begin{align*}
{y^{\prime }}^{2}-y y^{\prime }+{\mathrm e}^{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.781 |
|
| 15082 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.781 |
|
| 15083 |
\begin{align*}
y^{\prime }&=\sin \left (y x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.782 |
|
| 15084 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&=-{\mathrm e}^{3 t}-2 t \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= {\frac {8}{9}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.782 |
|
| 15085 |
\begin{align*}
y^{\prime \prime }+4 y&=\sec \left (2 t \right )^{2} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.782 |
|
| 15086 |
\begin{align*}
t^{2} y^{\prime \prime }-t y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.783 |
|
| 15087 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\lambda x} y^{2}+a \,{\mathrm e}^{\mu x} y+a \lambda \,{\mathrm e}^{\left (\mu -\lambda \right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.783 |
|
| 15088 |
\begin{align*}
-y y^{\prime }-{y^{\prime }}^{2} x +x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.783 |
|
| 15089 |
\begin{align*}
a y^{\prime \prime }+2 b y^{\prime }+c y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.783 |
|
| 15090 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=\frac {1}{1+{\mathrm e}^{x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.783 |
|
| 15091 |
\begin{align*}
\left (1-y^{\prime }\right )^{2}-{\mathrm e}^{-2 y}&={\mathrm e}^{-2 x} {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.783 |
|
| 15092 |
\begin{align*}
y^{\prime \prime }+9 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (\pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.783 |
|
| 15093 |
\begin{align*}
y+y^{\prime }&=\left \{\begin {array}{cc} 0 & 0\le t <1 \\ 5 & 1\le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
1.784 |
|
| 15094 |
\begin{align*}
y^{\prime }&=1+y \\
y \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.784 |
|
| 15095 |
\begin{align*}
x^{\prime }&=-7 x+6 y+6 \,{\mathrm e}^{-t} \\
y^{\prime }&=-12 x+5 y+37 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.785 |
|
| 15096 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.785 |
|
| 15097 |
\begin{align*}
-2 y+\left (1-4 x \right ) y^{\prime }+x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.786 |
|
| 15098 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.786 |
|
| 15099 |
\begin{align*}
2 x y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.786 |
|
| 15100 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (9 x^{2}-\frac {1}{25}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.786 |
|