| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 12901 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+2 x_{3} \\
x_{2}^{\prime }&=2 x_{2}+2 x_{3} \\
x_{3}^{\prime }&=-x_{1}+x_{2}+3 x_{3} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 11 \\
x_{2} \left (0\right ) &= 1 \\
x_{3} \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 12902 |
\begin{align*}
x^{2} \left (2 x^{2}+x +1\right ) y^{\prime \prime }+x \left (7 x^{2}+6 x +3\right ) y^{\prime }+\left (-3 x^{2}+6 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.149 |
|
| 12903 |
\begin{align*}
x_{1}^{\prime }&=-4 x_{1} \\
x_{2}^{\prime }&=2 x_{1}+5 x_{2}-9 x_{3} \\
x_{3}^{\prime }&=5 x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.149 |
|
| 12904 |
\begin{align*}
y-\left (x +1\right ) y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.149 |
|
| 12905 |
\begin{align*}
y^{\prime \prime }&=\frac {y^{\prime }}{x +1}-\frac {\left (1+3 x \right ) y}{4 x^{2} \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.149 |
|
| 12906 |
\begin{align*}
x^{\prime \prime }+x^{\prime }-2 x&=12 \,{\mathrm e}^{-t}-6 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.149 |
|
| 12907 |
\begin{align*}
3 {y^{\prime }}^{5}-y y^{\prime }+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.150 |
|
| 12908 |
\begin{align*}
b y+a {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.150 |
|
| 12909 |
\begin{align*}
\left (b x +a \right ) y+x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.151 |
|
| 12910 |
\begin{align*}
4 x^{2} y^{\prime \prime }+y&=\sqrt {x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.151 |
|
| 12911 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.151 |
|
| 12912 |
\begin{align*}
y^{\prime \prime }-\frac {1}{\left (a y^{2}+b x y+c \,x^{2}+\alpha y+\beta x +\gamma \right )^{{3}/{2}}}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
1.151 |
|
| 12913 |
\begin{align*}
x y^{\prime \prime }+2&=\sqrt {x} \\
y \left (1\right ) &= 8 \\
y^{\prime }\left (1\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.151 |
|
| 12914 |
\begin{align*}
4 x^{2} y^{\prime \prime }+2 x \left (x^{2}+x +4\right ) y^{\prime }+\left (3 x^{2}+5 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.152 |
|
| 12915 |
\begin{align*}
y_{1}^{\prime }&=-3 y_{1}+y_{2}-3 y_{3} \\
y_{2}^{\prime }&=4 y_{1}-y_{2}+2 y_{3} \\
y_{3}^{\prime }&=4 y_{1}-2 y_{2}+3 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.152 |
|
| 12916 |
\begin{align*}
y^{\prime \prime }&=1+3 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.152 |
|
| 12917 |
\begin{align*}
y^{\prime }&=\sqrt {\left (y+2\right ) \left (-1+y\right )} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.152 |
|
| 12918 |
\begin{align*}
y^{\prime \prime }+x^{2} y^{\prime }+4 y&=y^{3} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.152 |
|
| 12919 |
\begin{align*}
y^{\prime \prime }+4 y&=3 \sec \left (2 t \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.152 |
|
| 12920 |
\begin{align*}
t y^{\prime \prime }+\left (1-t \right ) y^{\prime }+\lambda y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
1.153 |
|
| 12921 |
\begin{align*}
x^{\prime }&=\frac {{\mathrm e}^{-t}}{\sqrt {t}} \\
x \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.153 |
|
| 12922 |
\begin{align*}
y^{\prime \prime }+y&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.153 |
|
| 12923 |
\begin{align*}
x^{\prime }&=2 x+2 y-z \\
y^{\prime }&=y+z \\
z^{\prime }&=-y+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.153 |
|
| 12924 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=0 \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.154 |
|
| 12925 |
\begin{align*}
\left (x^{2}-9\right )^{2} y^{\prime \prime }+\left (x +3\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.154 |
|
| 12926 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (a^{2} x^{2}-6\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.154 |
|
| 12927 |
\begin{align*}
\cos \left (x \right ) y^{\prime }-\sin \left (x \right )&=0 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.154 |
|
| 12928 |
\begin{align*}
y^{\prime }&=y^{2}-3 y+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.154 |
|
| 12929 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x^{2}+x +1\right ) y^{\prime }+x \left (2-x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.155 |
|
| 12930 |
\begin{align*}
y^{\prime \prime }+y&=2 \sin \left (x \right )-3 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.155 |
|
| 12931 |
\begin{align*}
y^{\prime }&=\sqrt {\left (y+2\right ) \left (-1+y\right )} \\
y \left (0\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.155 |
|
| 12932 |
\begin{align*}
a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=8 \cos \left (a x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.156 |
|
| 12933 |
\begin{align*}
-3 y+x y^{\prime }+2 x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.156 |
|
| 12934 |
\begin{align*}
x^{\prime }&=-2 x+y \\
y^{\prime }&=x-2 y \\
z^{\prime }&=x+y-5 z \\
u^{\prime }&=5 z \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
z \left (0\right ) &= 0 \\
u \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.156 |
|
| 12935 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=-\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.156 |
|
| 12936 |
\begin{align*}
4 x^{2} y^{\prime \prime }-4 x \left (x +1\right ) y^{\prime }+\left (2 x +3\right ) y&=x^{{5}/{2}} {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.157 |
|
| 12937 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (x +1\right ) y&=x \left (x^{2}+x +1\right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.157 |
|
| 12938 |
\begin{align*}
c y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.157 |
|
| 12939 |
\begin{align*}
n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.157 |
|
| 12940 |
\begin{align*}
\left (x +1\right ) \left (x^{2}+1\right ) y^{\prime }&=2 x^{2}+x \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.157 |
|
| 12941 |
\begin{align*}
y&=x \left (y^{\prime }+1\right )+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.157 |
|
| 12942 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{-x}+x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.158 |
|
| 12943 |
\begin{align*}
3 \left (x +1\right )^{2} y^{\prime \prime }-\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✗ |
1.158 |
|
| 12944 |
\begin{align*}
8 x {y^{\prime }}^{3}-12 y {y^{\prime }}^{2}+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.158 |
|
| 12945 |
\begin{align*}
y^{\prime \prime }&=\frac {1}{\sqrt {y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.158 |
|
| 12946 |
\begin{align*}
y^{\prime \prime }&=\sec \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.158 |
|
| 12947 |
\begin{align*}
x^{\prime }&=3 x+6 y \\
y^{\prime }&=-2 x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.158 |
|
| 12948 |
\begin{align*}
y^{\prime \prime }-y^{\prime }&=42 \,{\mathrm e}^{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.158 |
|
| 12949 |
\begin{align*}
\left (y+1\right ) y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.158 |
|
| 12950 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+3 x_{2} \\
x_{2}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{3}^{\prime }&=x_{1}+x_{3}+x_{4} \\
x_{4}^{\prime }&=x_{2}+x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.159 |
|
| 12951 |
\begin{align*}
x y^{\prime \prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.159 |
|
| 12952 |
\begin{align*}
4 \,{\mathrm e}^{2 y} {y^{\prime }}^{2}+2 x y^{\prime }-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.159 |
|
| 12953 |
\begin{align*}
e y^{\prime \prime }&=\frac {w \left (\frac {L^{2}}{4}-x^{2}\right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.159 |
|
| 12954 |
\begin{align*}
x^{\prime }&=2 x+y+3 \,{\mathrm e}^{2 t} \\
y^{\prime }&=-4 x+2 y+{\mathrm e}^{2 t} t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.159 |
|
| 12955 |
\begin{align*}
y^{5} y^{\prime }+5 y^{6}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.159 |
|
| 12956 |
\begin{align*}
y^{\prime \prime }+\frac {\left (1-t \right ) y^{\prime }}{t}+\frac {\left (1-\cos \left (t \right )\right ) y}{t^{3}}&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
1.159 |
|
| 12957 |
\begin{align*}
x y^{\prime \prime }+\left (-2 x +2\right ) y^{\prime }+\left (x -2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.160 |
|
| 12958 |
\begin{align*}
y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.160 |
|
| 12959 |
\begin{align*}
x^{\prime }&=2 x-y \\
y^{\prime }&=-2 y+3 z \\
z^{\prime }&=-x+3 y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.161 |
|
| 12960 |
\begin{align*}
x y y^{\prime \prime }+{y^{\prime }}^{2} x -y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.161 |
|
| 12961 |
\begin{align*}
y^{\prime \prime }+\left (\tan \left (x \right )-1\right )^{2} y^{\prime }-n \left (n -1\right ) y \sec \left (x \right )^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.161 |
|
| 12962 |
\begin{align*}
y^{\prime \prime }&=\frac {\frac {4 x}{25}-\frac {4 y}{25}}{x^{2}} \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.161 |
|
| 12963 |
\begin{align*}
4 y^{3} {y^{\prime }}^{2}-4 x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.161 |
|
| 12964 |
\begin{align*}
y^{\prime \prime }&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.161 |
|
| 12965 |
\begin{align*}
y^{\prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.162 |
|
| 12966 |
\begin{align*}
-y+y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.162 |
|
| 12967 |
\begin{align*}
x^{\prime }+3 x+2 y&=0 \\
3 x+y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.162 |
|
| 12968 |
\begin{align*}
{y^{\prime }}^{2} x -2 y y^{\prime }+x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.163 |
|
| 12969 |
\begin{align*}
-\left (a^{2}+1\right ) y-2 \tan \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.163 |
|
| 12970 |
\begin{align*}
2 y y^{\prime \prime }&=y^{3}+2 {y^{\prime }}^{2} \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.164 |
|
| 12971 |
\begin{align*}
6 y+\left (1-2 x \right ) y^{\prime }+x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.164 |
|
| 12972 |
\begin{align*}
x^{2} y^{\prime \prime }+4 \left (x +a \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.164 |
|
| 12973 |
\begin{align*}
y_{1}^{\prime }&=y_{1}+2 y_{2}-3 y_{3} \\
y_{2}^{\prime }&=-3 y_{1}+4 y_{2}-2 y_{3} \\
y_{3}^{\prime }&=2 y_{1}+y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.164 |
|
| 12974 |
\begin{align*}
2 y^{\prime \prime }+3 y^{\prime }+y&=t^{2}+3 \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.164 |
|
| 12975 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.164 |
|
| 12976 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+6 x_{3} \\
x_{2}^{\prime }&=x_{1}+6 x_{2}+x_{3} \\
x_{3}^{\prime }&=6 x_{1}+x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.165 |
|
| 12977 |
\begin{align*}
x^{\prime }&=\frac {\cos \left (t \right )}{\sin \left (t \right )} \\
x \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.165 |
|
| 12978 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (1-x \right ) y^{\prime }-\left (5+x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.166 |
|
| 12979 |
\begin{align*}
y^{\prime \prime }+y&=\cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.166 |
|
| 12980 |
\begin{align*}
x^{\prime }&=7 x-y+6 z \\
y^{\prime }&=-10 x+4 y-12 z \\
z^{\prime }&=-2 x+y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.166 |
|
| 12981 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }-\left (x^{2}-2\right ) y&=3 x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.167 |
|
| 12982 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (x +4\right ) y^{\prime }+2 \left (x +3\right ) y&={\mathrm e}^{x} x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.167 |
|
| 12983 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{2 x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.167 |
|
| 12984 |
\begin{align*}
x \left (-x^{2}+2\right ) y^{\prime \prime }-\left (x^{2}+4 x +2\right ) \left (\left (1-x \right ) y^{\prime }+y\right )&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.167 |
|
| 12985 |
\begin{align*}
y^{\prime }-\tan \left (y x \right )&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
1.167 |
|
| 12986 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (5 x -4\right ) y^{\prime }}{x \left (x -1\right )}-\frac {\left (9 x -6\right ) y}{x^{2} \left (x -1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.167 |
|
| 12987 |
\begin{align*}
y^{\prime \prime }+16 y&=\sin \left (4 x +\alpha \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.167 |
|
| 12988 |
\begin{align*}
x y^{\prime \prime }+\left (2 x -1\right ) y^{\prime }&=-4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.167 |
|
| 12989 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.167 |
|
| 12990 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.168 |
|
| 12991 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x^{2}+6\right ) y^{\prime }+6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.168 |
|
| 12992 |
\begin{align*}
x^{\prime }&=x+2 y+z \\
y^{\prime }&=6 x-y \\
z^{\prime }&=-x-2 y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.168 |
|
| 12993 |
\begin{align*}
{y^{\prime }}^{2}+4 x^{5} y^{\prime }-12 x^{4} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.168 |
|
| 12994 |
\begin{align*}
y^{\prime \prime }&=-\frac {x \sin \left (x \right ) y^{\prime }}{x \cos \left (x \right )-\sin \left (x \right )}+\frac {\sin \left (x \right ) y}{x \cos \left (x \right )-\sin \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.168 |
|
| 12995 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.168 |
|
| 12996 |
\begin{align*}
y^{\prime }+2 y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.168 |
|
| 12997 |
\begin{align*}
4 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+12 x^{2} \left (x +1\right ) y^{\prime }+\left (3 x^{2}+3 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.169 |
|
| 12998 |
\begin{align*}
y^{\prime \prime }+2 n y^{\prime }+n^{2} y&=A \cos \left (p x \right ) \\
y \left (0\right ) &= 9 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.169 |
|
| 12999 |
\begin{align*}
y&=x^{6} {y^{\prime }}^{3}-x y^{\prime } \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.169 |
|
| 13000 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✗ |
1.169 |
|