| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11901 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
x_{2}^{\prime }&=-4 x_{1}-3 x_{2}-x_{3} \\
x_{3}^{\prime }&=4 x_{1}+4 x_{2}+2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 11902 |
\begin{align*}
t^{2} y^{\prime \prime }+3 t y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 11903 |
\begin{align*}
18 x^{2} \left (x +1\right ) y^{\prime \prime }+3 x \left (x^{2}+11 x +5\right ) y^{\prime }-\left (-5 x^{2}-2 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 11904 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-\frac {x y^{2}}{100}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.971 |
|
| 11905 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\frac {\left (x^{2}-1\right ) y}{4}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 11906 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{a \cos \left (x \right )} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.971 |
|
| 11907 |
\begin{align*}
y^{\prime }&=b y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 11908 |
\begin{align*}
\left (2 x +1\right ) y-x \left (2 x +1\right ) y^{\prime }+x^{2} \left (x +1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.971 |
|
| 11909 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+\left (-x^{2}+1\right ) y&=\frac {-x^{2}+x}{x +1} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.971 |
|
| 11910 |
\begin{align*}
y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 11911 |
\begin{align*}
2 t y^{\prime \prime }+y^{\prime }+y t&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.971 |
|
| 11912 |
\begin{align*}
x^{\prime }+5 x+3 y^{\prime }-11 y&=0 \\
x^{\prime }+3 x+y^{\prime }-7 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.972 |
|
| 11913 |
\begin{align*}
y^{\prime \prime }+i y&=\cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.972 |
|
| 11914 |
\begin{align*}
x^{\prime }-x-2 y&={\mathrm e}^{t} \\
-4 x+y^{\prime }-3 y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.973 |
|
| 11915 |
\begin{align*}
x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.973 |
|
| 11916 |
\begin{align*}
\cos \left (x \right ) y^{\prime }+\frac {y}{x}&=x +\sin \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✗ |
✗ |
0.973 |
|
| 11917 |
\begin{align*}
x \left (x -1\right ) y^{\prime \prime }+\left (\left (\operatorname {a1} +\operatorname {b1} +1\right ) x -\operatorname {d1} \right ) y^{\prime }+\operatorname {a1} \operatorname {b1} \operatorname {d1}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.973 |
|
| 11918 |
\(\left [\begin {array}{ccc} -2 & 6 & -18 \\ 12 & -23 & 66 \\ 5 & -10 & 29 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.973 |
|
| 11919 |
\begin{align*}
y^{\prime \prime }+y&=1 \\
y \left (0\right ) &= 0 \\
y \left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.973 |
|
| 11920 |
\begin{align*}
x_{1}^{\prime }&=x_{1} \\
x_{2}^{\prime }&=3 x_{1}+x_{2}-2 x_{3} \\
x_{3}^{\prime }&=2 x_{1}+2 x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.974 |
|
| 11921 |
\begin{align*}
m y^{\prime \prime }+b y^{\prime }+k y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.974 |
|
| 11922 |
\begin{align*}
\left (3 x^{2}+1\right ) y^{\prime \prime }+13 x y^{\prime }+7 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.974 |
|
| 11923 |
\begin{align*}
\frac {y^{\prime } y}{1+\frac {\sqrt {1+{y^{\prime }}^{2}}}{2}}&=-x \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.974 |
|
| 11924 |
\begin{align*}
x^{\prime }-3 x+2 y&=0 \\
y^{\prime }-x+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.974 |
|
| 11925 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }-30 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.974 |
|
| 11926 |
\begin{align*}
v^{\prime \prime }+v&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.974 |
|
| 11927 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.974 |
|
| 11928 |
\begin{align*}
\left (1+3 x \right ) {y^{\prime }}^{2}-3 \left (y+2\right ) y^{\prime }+9&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.975 |
|
| 11929 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+10 y&=5 \,{\mathrm e}^{-2 x} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.975 |
|
| 11930 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&=2 t \,{\mathrm e}^{-2 t} \sin \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.975 |
|
| 11931 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+34 y&={\mathrm e}^{5 t} \cot \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.975 |
|
| 11932 |
\begin{align*}
y^{\prime \prime }&=\sin \left (y x \right ) \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*}
Series expansion around \(x=\frac {\pi }{2}\). |
✓ |
✓ |
✓ |
✗ |
0.976 |
|
| 11933 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.976 |
|
| 11934 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.976 |
|
| 11935 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.976 |
|
| 11936 |
\begin{align*}
y^{\prime \prime }+{\mathrm e}^{-2 y}&=0 \\
y \left (3\right ) &= 0 \\
y^{\prime }\left (3\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.976 |
|
| 11937 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.976 |
|
| 11938 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+10 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 11939 |
\begin{align*}
y^{\prime }-y x&=x^{3} y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 11940 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-5\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.977 |
|
| 11941 |
\begin{align*}
x^{\prime }&=x+y+4 z \\
y^{\prime }&=2 y \\
z^{\prime }&=x+y+z \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 3 \\
z \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 11942 |
\begin{align*}
{y^{\prime }}^{3}+y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.977 |
|
| 11943 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }+2 \left (x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 11944 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 11945 |
\begin{align*}
y^{\prime }&=y^{2}-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 11946 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 11947 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 11948 |
\begin{align*}
x^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 11949 |
\begin{align*}
9 y^{2} {y^{\prime }}^{2}-3 x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.977 |
|
| 11950 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }&=2 \,{\mathrm e}^{x} \\
y \left (1\right ) &= -1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.977 |
|
| 11951 |
\begin{align*}
y^{\prime }+2 y&=2 \operatorname {Heaviside}\left (t -1\right ) \\
y \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.978 |
|
| 11952 |
\begin{align*}
y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.978 |
|
| 11953 |
\begin{align*}
16 x^{2} y^{\prime \prime }+32 x y^{\prime }+\left (x^{4}-12\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.978 |
|
| 11954 |
\begin{align*}
x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.978 |
|
| 11955 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.979 |
|
| 11956 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+10 y&=100 \\
y \left (0\right ) &= 10 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.979 |
|
| 11957 |
\begin{align*}
2 x^{\prime }-6 x+3 y^{\prime }-2 y&=0 \\
7 x^{\prime }+4 x+7 y^{\prime }+20 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.979 |
|
| 11958 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.979 |
|
| 11959 |
\begin{align*}
{y^{\prime \prime }}^{3}&=12 y^{\prime } \left (-2 y^{\prime }+x y^{\prime \prime }\right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.979 |
|
| 11960 |
\begin{align*}
2 x^{2} y^{\prime \prime }+x \left (x^{2}+1\right ) y^{\prime }-\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 11961 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-\frac {x y^{2}}{100}} \\
y \left (0\right ) &= -4 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.980 |
|
| 11962 |
\begin{align*}
y^{\prime }&=t \sin \left (t^{2}\right ) \\
y \left (\sqrt {\pi }\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 11963 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+25 y&={\mathrm e}^{-3 t} \left (\sec \left (4 t \right )+\csc \left (4 t \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 11964 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&={\mathrm e}^{x} \cos \left (2 x \right )+\cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 11965 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x}+{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 11966 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 11967 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.980 |
|
| 11968 |
\begin{align*}
2 x y^{\prime \prime }-\left (x^{3}+1\right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.981 |
|
| 11969 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-6\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.981 |
|
| 11970 |
\begin{align*}
3 x \left (3 x +2\right ) y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.982 |
|
| 11971 |
\begin{align*}
y^{\prime }&=\cos \left (x \right )-\left (\sin \left (x \right )-y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.982 |
|
| 11972 |
\begin{align*}
-2 y+x y^{\prime }+x^{3} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.982 |
|
| 11973 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.982 |
|
| 11974 |
\begin{align*}
\left (4 a^{2} x^{2}+1\right ) y+4 x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.982 |
|
| 11975 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.982 |
|
| 11976 |
\begin{align*}
x^{\prime }&=-5 x+4 y-35 \\
y^{\prime }&=-2 x+y-11 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.982 |
|
| 11977 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (1-x \right ) y^{\prime }+\left (-x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.983 |
|
| 11978 |
\begin{align*}
x_{1}^{\prime }&=-x_{2} \\
x_{2}^{\prime }&=x_{1} \\
x_{3}^{\prime }&=x_{2}-x_{4} \\
x_{4}^{\prime }&=x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.983 |
|
| 11979 |
\begin{align*}
y^{\prime \prime }+y&=a \sin \left (b x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.983 |
|
| 11980 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=-8 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.983 |
|
| 11981 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=8 x-2 y+{\mathrm e}^{t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.983 |
|
| 11982 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.984 |
|
| 11983 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{x}-2 \,{\mathrm e}^{2 x}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.984 |
|
| 11984 |
\begin{align*}
\left (x^{3} y^{3}+x^{2} y^{2}+y x +1\right ) y+\left (x^{3} y^{3}-x^{2} y^{2}-y x +1\right ) x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.984 |
|
| 11985 |
\begin{align*}
{y^{\prime }}^{3}+y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.984 |
|
| 11986 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-\frac {x y^{2}}{100}} \\
y \left (8\right ) &= -4 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.984 |
|
| 11987 |
\begin{align*}
2 x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (2 x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.984 |
|
| 11988 |
\begin{align*}
x^{2} y^{\prime \prime }+4 y^{2}-6 y&=x^{4} {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.984 |
|
| 11989 |
\begin{align*}
x^{\prime \prime }&=\delta \left (-t +a \right ) \\
x \left (0\right ) &= 1 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.984 |
|
| 11990 |
\begin{align*}
s^{\prime \prime }-3 s^{\prime }+2 s&=8 t^{2}+12 \,{\mathrm e}^{-t} \\
s \left (0\right ) &= 0 \\
s^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.984 |
|
| 11991 |
\begin{align*}
y^{\prime }&=-x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.984 |
|
| 11992 |
\begin{align*}
x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }-x \left (-2 x^{2}-4 x +1\right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.985 |
|
| 11993 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=\left (3 t^{7}-5 t^{4}\right ) {\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.985 |
|
| 11994 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}-x_{2}+1 \\
x_{2}^{\prime }&=2 x_{1}-x_{2}+5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.985 |
|
| 11995 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.985 |
|
| 11996 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }&={\mathrm e}^{-7 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.985 |
|
| 11997 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (2 x \right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.985 |
|
| 11998 |
\begin{align*}
y^{\prime }+\left (x +2\right ) y^{\prime \prime }+\left (x +2\right )^{2} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.986 |
|
| 11999 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-x^{2} y&=1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.986 |
|
| 12000 |
\begin{align*}
y&=-x y^{\prime }+x^{4} {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.986 |
|