| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 7201 |
\begin{align*}
y^{\prime \prime }+4 y&=8 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 7202 |
\(\left [\begin {array}{ccc} 1 & 0 & 1 \\ 0 & 1 & -1 \\ -2 & 0 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.537 |
|
| 7203 |
\begin{align*}
x^{\prime }&=2 y \\
y^{\prime }&=-2 x-y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= -1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 7204 |
\begin{align*}
i^{\prime }&=\frac {i}{2}-\frac {v}{8} \\
v^{\prime }&=2 i-\frac {v}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 7205 |
\begin{align*}
\left (x +1\right ) y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 7206 |
\begin{align*}
\left (-x y^{\prime }+y\right ) \left (y^{\prime }-1\right )&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.537 |
|
| 7207 |
\begin{align*}
x^{2} y^{\prime \prime }-2 \left (x^{2}+x \right ) y^{\prime }+\left (x^{2}+2 x +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.537 |
|
| 7208 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.537 |
|
| 7209 |
\begin{align*}
9 y^{\prime \prime }-12 y^{\prime }+4 y&=0 \\
y \left (\pi \right ) &= 0 \\
y^{\prime }\left (\pi \right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.538 |
|
| 7210 |
\begin{align*}
z^{\prime \prime }+z^{\prime } t +\left (t^{2}-\frac {1}{9}\right ) z&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.538 |
|
| 7211 |
\begin{align*}
y^{\prime \prime }&=2 y {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.538 |
|
| 7212 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.538 |
|
| 7213 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.538 |
|
| 7214 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (a x +b \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.538 |
|
| 7215 |
\begin{align*}
y^{\prime \prime }+y t&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.538 |
|
| 7216 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y \,{\mathrm e}^{x}&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.538 |
|
| 7217 |
\begin{align*}
\frac {y^{2}}{x^{2}}+{y^{\prime }}^{2}&=3 x y^{\prime \prime }+\frac {2 y y^{\prime }}{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.538 |
|
| 7218 |
\begin{align*}
x^{\prime \prime }+9 x&=\delta \left (t -3 \pi \right )+\cos \left (3 t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7219 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7220 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=4 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7221 |
\begin{align*}
9 y^{\prime \prime }+6 y^{\prime }+y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7222 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7223 |
\begin{align*}
2 y y^{\prime \prime }&={y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.539 |
|
| 7224 |
\begin{align*}
y+x^{3} y+2 x^{2}+\left (x +4 x y^{4}+8 y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.539 |
|
| 7225 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=2 x -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7226 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+3 y&=65 \cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7227 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+x_{3} \\
x_{2}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
x_{3}^{\prime }&=-3 x_{1}+2 x_{2}+4 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7228 |
\begin{align*}
x^{\prime }&=2 x-y \\
y^{\prime }&=5 x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7229 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7230 |
\begin{align*}
y^{\prime \prime }-9 y&=-72 x \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7231 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-5 x_{2} \\
x_{2}^{\prime }&=8 x_{1}-3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.539 |
|
| 7232 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}+x_{2}+x_{3} \\
x_{2}^{\prime }&=x_{1}+4 x_{2}+x_{3} \\
x_{3}^{\prime }&=x_{1}+x_{2}+4 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7233 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7234 |
\begin{align*}
\left (-x^{3}+1\right ) y^{\prime \prime }+15 x^{2} y^{\prime }-36 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7235 |
\begin{align*}
\left (2 x^{2}+x +1\right ) y^{\prime \prime }+\left (2+8 x \right ) y^{\prime }+4 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7236 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+3 x_{2} \\
x_{2}^{\prime }&=-2 x_{1}+5 x_{2} \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= -2 \\
x_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7237 |
\begin{align*}
x^{\prime }+\sin \left (t \right ) x&=0 \\
x \left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7238 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7239 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+y^{\prime }+y&=x \,{\mathrm e}^{x} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.540 |
|
| 7240 |
\begin{align*}
x^{2} y^{\prime \prime }+3 x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7241 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7242 |
\begin{align*}
6 y-5 y^{\prime }+y^{\prime \prime }&=3 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7243 |
\begin{align*}
x x^{\prime \prime }-{x^{\prime }}^{2}+{\mathrm e}^{t} x^{2}&=0 \\
x \left (0\right ) &= -1 \\
x^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.540 |
|
| 7244 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=x \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7245 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7246 |
\begin{align*}
y^{\prime }&=\frac {1}{\sqrt {t^{2}+2 t}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7247 |
\begin{align*}
y^{\prime }+4 y&=1 \\
y \left (0\right ) &= -3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.540 |
|
| 7248 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=3 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.541 |
|
| 7249 |
\begin{align*}
x^{\prime }&=4 y \\
y^{\prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.541 |
|
| 7250 |
\(\left [\begin {array}{cc} 2 & -3 \\ 3 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.541 |
|
| 7251 |
\begin{align*}
4 y+y^{\prime \prime }&=8 x^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.541 |
|
| 7252 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.541 |
|
| 7253 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=2 \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.541 |
|
| 7254 |
\begin{align*}
x_{1}^{\prime }&=5 x_{2} \\
x_{2}^{\prime }&=-x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.541 |
|
| 7255 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+4 x&=10 \cos \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7256 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7257 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2} \\
x_{2}^{\prime }&=x_{2} \\
x_{3}^{\prime }&=2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7258 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7259 |
\begin{align*}
x \left (-x^{2}+1\right ) y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7260 |
\begin{align*}
x^{\prime }&=-\lambda _{1} x \\
y^{\prime }&=\lambda _{1} x-\lambda _{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7261 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=50 t -100 \\
y \left (2\right ) &= -4 \\
y^{\prime }\left (2\right ) &= 14 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7262 |
\begin{align*}
y^{\prime }&=x \,{\mathrm e}^{x} \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7263 |
\begin{align*}
y^{\prime }+4 y&={\mathrm e}^{-4 t} \\
y \left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7264 |
\begin{align*}
a y y^{\prime \prime }+b {y^{\prime }}^{2}-\frac {y y^{\prime }}{\sqrt {c^{2}+x^{2}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.542 |
|
| 7265 |
\(\left [\begin {array}{cccc} 1 & 0 & 0 & 1 \\ 0 & 1 & 0 & 1 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 2 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.542 |
|
| 7266 |
\begin{align*}
x^{2} y^{\prime \prime }&=\left (3 x -2 y^{\prime }\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7267 |
\begin{align*}
y^{2}+\left (y x +3 y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.542 |
|
| 7268 |
\begin{align*}
4 y+y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7269 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+8 y&=\sin \left (t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7270 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7271 |
\begin{align*}
\left (2 x^{2}+1\right ) y^{\prime \prime }+3 y^{\prime }-y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7272 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-10 y&=\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7273 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+13 y&={\mathrm e}^{-3 x} \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.542 |
|
| 7274 |
\begin{align*}
y^{\prime \prime }-y&=3 x +5 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7275 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7276 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7277 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{-x} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7278 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7279 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7280 |
\begin{align*}
1+{\mathrm e}^{3 x} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7281 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7282 |
\begin{align*}
2 x y y^{\prime \prime }-{y^{\prime }}^{2} x +y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.543 |
|
| 7283 |
\begin{align*}
y^{\prime \prime }+a \,x^{n} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7284 |
\begin{align*}
x^{\prime }&=x-y \\
y^{\prime }&=x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7285 |
\begin{align*}
y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+2 y^{\prime \prime }&=3 \,{\mathrm e}^{-x}+6 \,{\mathrm e}^{2 x}-6 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7286 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+4 y&=5 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7287 |
\begin{align*}
y-x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7288 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+y&=a \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7289 |
\begin{align*}
{y^{\prime }}^{2}+y&=x y^{\prime }+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7290 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=x^{2}-2 x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7291 |
\begin{align*}
y^{\prime \prime }+9 y&=\sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7292 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&={\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.543 |
|
| 7293 |
\begin{align*}
\left (x^{2}+3 x +3\right ) y^{\prime \prime }+\left (6+4 x \right ) y^{\prime }+2 y&=0 \\
y \left (0\right ) &= 7 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.544 |
|
| 7294 |
\begin{align*}
y^{\prime }&=1-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.544 |
|
| 7295 |
\begin{align*}
v^{\prime }&=\frac {K -v}{R C} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.544 |
|
| 7296 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=-{\mathrm e}^{-9 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.544 |
|
| 7297 |
\begin{align*}
x^{\prime }&=\frac {5 x}{4}+\frac {3 y}{4} \\
y^{\prime }&=-\frac {3 x}{4}-\frac {y}{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.544 |
|
| 7298 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&=24 \,{\mathrm e}^{2 x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.544 |
|
| 7299 |
\begin{align*}
y^{\prime \prime }+3 x y^{\prime }+2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.545 |
|
| 7300 |
\begin{align*}
6 y^{\prime \prime }+5 y^{\prime }-6 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.545 |
|