| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 12301 |
\begin{align*}
r r^{\prime }&=a \\
r \left (0\right ) &= b \\
\end{align*} |
✓ |
✗ |
✓ |
✓ |
1.034 |
|
| 12302 |
\begin{align*}
\left (-x +3\right ) y-x \left (4-x \right ) y^{\prime }+2 \left (2-x \right ) x^{2} y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.035 |
|
| 12303 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{2 x}-\frac {\left (x +1\right ) y}{2 x^{2}}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.035 |
|
| 12304 |
\begin{align*}
y^{\prime }&=x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.036 |
|
| 12305 |
\begin{align*}
y^{\prime }+1&=2 y \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.036 |
|
| 12306 |
\begin{align*}
y^{\prime }&=\frac {x^{2}-1}{1+y^{2}} \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.036 |
|
| 12307 |
\begin{align*}
9 x^{2} \left (5+x \right ) y^{\prime \prime }+9 x \left (5+9 x \right ) y^{\prime }-\left (5-8 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.036 |
|
| 12308 |
\begin{align*}
x^{2} \left (2 x +1\right ) y^{\prime \prime }+x \left (3 x^{2}+14 x +5\right ) y^{\prime }+\left (12 x^{2}+18 x +4\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.036 |
|
| 12309 |
\begin{align*}
y&=2 x y^{\prime }+y^{2} {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.036 |
|
| 12310 |
\begin{align*}
\left (4 x^{4}+2 x^{2}+1\right ) y+4 x^{3} y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.036 |
|
| 12311 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.036 |
|
| 12312 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.036 |
|
| 12313 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.036 |
|
| 12314 |
\begin{align*}
y^{\prime \prime }-x^{2} y^{\prime }+\left (x +2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=-2\). |
✓ |
✓ |
✓ |
✓ |
1.036 |
|
| 12315 |
\begin{align*}
t y^{\prime \prime }-2 y^{\prime }+y t&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
1.036 |
|
| 12316 |
\(\left [\begin {array}{cccc} -4 & 1 & 0 & 1 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 0 \\ 1 & 0 & 0 & 3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
1.036 |
|
| 12317 |
\begin{align*}
t^{2} y^{\prime \prime }-4 t y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.037 |
|
| 12318 |
\begin{align*}
x \left (x^{2}+x +3\right ) y^{\prime \prime }+\left (-x^{2}+x +4\right ) y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.037 |
|
| 12319 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}+y_{2}-y_{3} \\
y_{2}^{\prime }&=y_{2}+y_{3} \\
y_{3}^{\prime }&=y_{1}+y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.037 |
|
| 12320 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}-2 x_{2}+2 x_{3}-{\mathrm e}^{3 t} \\
x_{2}^{\prime }&=2 x_{1}+4 x_{2}-x_{3}+4 \,{\mathrm e}^{3 t} \\
x_{3}^{\prime }&=3 x_{3}+3 \,{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.037 |
|
| 12321 |
\begin{align*}
-2 y+a \,x^{2} y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.037 |
|
| 12322 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{x}-x +\sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.037 |
|
| 12323 |
\begin{align*}
x^{2} \left (1-2 x \right ) y^{\prime \prime }+x \left (8-9 x \right ) y^{\prime }+\left (6-3 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.038 |
|
| 12324 |
\begin{align*}
x^{2} y^{\prime }&=a \,x^{2} y^{2}+b x y+c \,x^{n}+s \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.038 |
|
| 12325 |
\begin{align*}
a^{2} y^{\prime \prime }&=2 x \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
1.038 |
|
| 12326 |
\begin{align*}
y^{\prime }&=x -y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.039 |
|
| 12327 |
\begin{align*}
5 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.039 |
|
| 12328 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }+\left (x +1\right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.039 |
|
| 12329 |
\begin{align*}
\left (a^{2}+x^{2}\right )^{2} y^{\prime \prime }+y b^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.039 |
|
| 12330 |
\begin{align*}
\left (x^{2}+1\right ) {y^{\prime }}^{2}-2 x y y^{\prime }+y^{2}-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.039 |
|
| 12331 |
\begin{align*}
3 x^{2} y^{\prime \prime }+2 x \left (-2 x^{2}+x +1\right ) y^{\prime }+\left (-8 x^{2}+2 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.040 |
|
| 12332 |
\begin{align*}
x^{2} y^{\prime \prime }+3 x y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.040 |
|
| 12333 |
\begin{align*}
x y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+\left (x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.040 |
|
| 12334 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (5 x +4\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
1.040 |
|
| 12335 |
\begin{align*}
\left (x^{2}-x \right ) y^{\prime \prime }+\left (3 x -2\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.040 |
|
| 12336 |
\begin{align*}
y^{\prime }+4 \csc \left (x \right )&=\left (3-\cot \left (x \right )\right ) y+\sin \left (x \right ) y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.041 |
|
| 12337 |
\begin{align*}
x \left (x +2\right ) y^{\prime \prime }+\left (x +1\right ) y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.041 |
|
| 12338 |
\begin{align*}
y^{\prime \prime }+9 y&=\sec \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.041 |
|
| 12339 |
\begin{align*}
x^{\prime }-y^{\prime }&=x+y-t \\
2 x^{\prime }+3 y^{\prime }&=2 x+6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.041 |
|
| 12340 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.041 |
|
| 12341 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (3 x \right )+4 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.041 |
|
| 12342 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+5 x_{2}+6 x_{3} \\
x_{2}^{\prime }&=8 x_{2}+9 x_{3} \\
x_{3}^{\prime }&=x_{2}-2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.041 |
|
| 12343 |
\begin{align*}
\left (x y^{\prime }+3 y\right )^{2}&=7 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.041 |
|
| 12344 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.042 |
|
| 12345 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (2 x \right ) \sec \left (2 x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.043 |
|
| 12346 |
\begin{align*}
z \left (1-z \right ) y^{\prime \prime }+\left (1-z \right ) y^{\prime }+\lambda y&=0 \\
\end{align*}
Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
1.043 |
|
| 12347 |
\begin{align*}
y^{\prime }&=x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.043 |
|
| 12348 |
\begin{align*}
{y^{\prime }}^{4}+y^{2}&=y^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.043 |
|
| 12349 |
\begin{align*}
x^{2} \left (x^{2}+3 x +3\right ) y^{\prime \prime }+x \left (7 x^{2}+8 x +5\right ) y^{\prime }-\left (-9 x^{2}-2 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.044 |
|
| 12350 |
\begin{align*}
t^{2} y^{\prime \prime }+\left (-t^{2}+3 t \right ) y^{\prime }-y t&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
1.044 |
|
| 12351 |
\begin{align*}
y^{\prime \prime }+9 y&=\frac {36}{4-\cos \left (3 x \right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.044 |
|
| 12352 |
\begin{align*}
y^{\prime \prime }-\frac {\left (-3 x^{2}+x \right ) y^{\prime }}{2 x^{3}+2 x^{2}}+\frac {y}{2 x^{3}+2 x^{2}}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.044 |
|
| 12353 |
\begin{align*}
y+3 y^{\prime }+3 y^{\prime \prime }+y^{\prime \prime \prime }&=\left (-x^{2}+2\right ) {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.044 |
|
| 12354 |
\begin{align*}
{y^{\prime }}^{3}-{\mathrm e}^{2 x} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.044 |
|
| 12355 |
\begin{align*}
y^{\prime }&=y^{2}-4 y+2 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
1.044 |
|
| 12356 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.044 |
|
| 12357 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right ) \\
y \left (\frac {\pi }{2}\right ) &= 0 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.044 |
|
| 12358 |
\begin{align*}
4 x^{2} \left (2 x +1\right ) y^{\prime \prime }-2 x \left (4-x \right ) y^{\prime }-\left (7+5 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.045 |
|
| 12359 |
\begin{align*}
x^{\prime }&=-4 x+3 y \\
y^{\prime }&=-y+z \\
z^{\prime }&=5 x-5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.045 |
|
| 12360 |
\begin{align*}
x^{\prime }&=2 x-y+z \\
y^{\prime }&=x+z \\
z^{\prime }&=y-2 z-3 x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
z \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.045 |
|
| 12361 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.046 |
|
| 12362 |
\begin{align*}
x^{\prime }-5 x+3 y&=2 \,{\mathrm e}^{3 t} \\
-x+y^{\prime }-y&=5 \,{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.046 |
|
| 12363 |
\begin{align*}
4 y-2 y^{\prime }+y^{\prime \prime \prime }&={\mathrm e}^{x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.046 |
|
| 12364 |
\begin{align*}
x^{\prime }&=2 x+3 y-7 \\
y^{\prime }&=-x-2 y+5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.046 |
|
| 12365 |
\begin{align*}
y^{\prime }&=a x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.046 |
|
| 12366 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y+1&=\sin \left (x \right )+x +x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.046 |
|
| 12367 |
\begin{align*}
x^{\prime }&=-x-4 y-4 \\
y^{\prime }&=x-y-6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.046 |
|
| 12368 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{x}}{x} \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.046 |
|
| 12369 |
\begin{align*}
y^{\prime \prime \prime }+2 y^{\prime \prime }&=\left (2 x^{2}+x \right ) {\mathrm e}^{-2 x}+5 \cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.047 |
|
| 12370 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.047 |
|
| 12371 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+4 y x&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.047 |
|
| 12372 |
\begin{align*}
\left (x^{3}-1\right ) y^{\prime \prime }+x^{2} y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.048 |
|
| 12373 |
\begin{align*}
y^{\prime }+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.049 |
|
| 12374 |
\begin{align*}
y^{\prime }-y&=x \sqrt {y} \\
y \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.049 |
|
| 12375 |
\begin{align*}
x y^{\prime }&=\sqrt {a^{2}-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.049 |
|
| 12376 |
\begin{align*}
-2 y-x^{3} y^{\prime }+x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.049 |
|
| 12377 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=10 x^{4}+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.049 |
|
| 12378 |
\begin{align*}
{y^{\prime }}^{2}-2 y^{\prime } \cosh \left (x \right )+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.049 |
|
| 12379 |
\begin{align*}
x^{\prime \prime }+b x^{\prime }+c x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.049 |
|
| 12380 |
\begin{align*}
{y^{\prime }}^{3}+y {y^{\prime }}^{2}-x^{2} y^{\prime }-x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.049 |
|
| 12381 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (2 x \right )^{2} \\
y \left (\pi \right ) &= 0 \\
y^{\prime }\left (\pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.049 |
|
| 12382 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x \left (2 x +1\right ) y^{\prime }+\left (4 x -1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.050 |
|
| 12383 |
\begin{align*}
{y^{\prime \prime }}^{2}&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.050 |
|
| 12384 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{2 x}}{\left (1+{\mathrm e}^{x}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.050 |
|
| 12385 |
\begin{align*}
{y^{\prime }}^{2}-3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.050 |
|
| 12386 |
\begin{align*}
y^{\prime }&=\frac {1}{-3+y} \\
y \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.051 |
|
| 12387 |
\begin{align*}
2 x^{\prime }+y^{\prime }-x-y&=-2 t \\
x^{\prime }+y^{\prime }+x-y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.051 |
|
| 12388 |
\begin{align*}
x^{2} \left (-x^{2}+2\right ) y^{\prime \prime }+\left (4 x^{2}+5 x \right ) y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.051 |
|
| 12389 |
\begin{align*}
4 x^{\prime }+9 y^{\prime }+2 x+31 y&={\mathrm e}^{t} \\
3 x^{\prime }+7 y^{\prime }+x+24 y&=3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.051 |
|
| 12390 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y&=x^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.052 |
|
| 12391 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }-\left (x +2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.052 |
|
| 12392 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.052 |
|
| 12393 |
\begin{align*}
y^{\prime }&=2-y \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.052 |
|
| 12394 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }-y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.053 |
|
| 12395 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.053 |
|
| 12396 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{4}+2 y&=2 \cos \left (w t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.053 |
|
| 12397 |
\begin{align*}
2 x^{2} \left (3 x +2\right ) y^{\prime \prime }+x \left (4+11 x \right ) y^{\prime }-\left (1-x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.054 |
|
| 12398 |
\begin{align*}
y_{1}^{\prime }&=y_{2} \\
y_{2}^{\prime }&=-y_{1}+y_{3} \\
y_{3}^{\prime }&=-y_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.054 |
|
| 12399 |
\begin{align*}
x^{\prime }+2 x+5 y&=0 \\
-x+y^{\prime }-2 y&=\sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.054 |
|
| 12400 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (16 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.054 |
|