| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 3201 |
\(\left [\begin {array}{ccc} 2 & -2 & 1 \\ -1 & 2 & 0 \\ -5 & 7 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.266 |
|
| 3202 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+10 x^{2} y^{\prime \prime }-20 x y^{\prime }+20 y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= -1 \\
y^{\prime \prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.266 |
|
| 3203 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-54 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.266 |
|
| 3204 |
\begin{align*}
3 y^{\prime \prime }+2 y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.266 |
|
| 3205 |
\begin{align*}
x^{\prime }-2 y^{\prime }&=1 \\
x^{\prime }-x+y&=0 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.266 |
|
| 3206 |
\begin{align*}
x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| 3207 |
\begin{align*}
\sin \left (x \right )+y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 3208 |
\begin{align*}
y^{\prime \prime \prime }&=x^{2}+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 3209 |
\begin{align*}
2 y^{\prime \prime }+4 x y^{\prime \prime \prime }+x^{2} y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 3210 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 3211 |
\begin{align*}
y^{\prime \prime }+\left (1+2 i\right ) y^{\prime }+\left (-1+i\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 3212 |
\begin{align*}
x^{3} \left (x^{2}-25\right ) \left (x -2\right )^{2} y^{\prime \prime }+3 x \left (x -2\right ) y^{\prime }+7 \left (5+x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.267 |
|
| 3213 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-y x -x^{3}-x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| 3214 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+8 x y^{\prime }+12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| 3215 |
\begin{align*}
6 x^{2} y^{\prime \prime }+x \left (10-x \right ) y^{\prime }-\left (x +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| 3216 |
\begin{align*}
\left (x^{2}-2 x +10\right ) y^{\prime \prime }+x y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| 3217 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (-2 x^{2}+1\right ) y^{\prime }-4 \left (2 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| 3218 |
\begin{align*}
\left (2 x^{2}+1\right ) y^{\prime \prime }+7 x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| 3219 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=8 \,{\mathrm e}^{x} \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 1 \\
y^{\prime \prime \prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 3220 |
\begin{align*}
{y^{\prime }}^{2}-5 y^{\prime }+6&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 3221 |
\begin{align*}
{y^{\prime }}^{2}-9 y^{\prime }+18&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 3222 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 3223 |
\begin{align*}
y^{\prime \prime }+y&=x^{2} \\
y \left (\frac {\pi }{2}\right ) &= \frac {\pi ^{2}}{4} \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 2 \pi \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.267 |
|
| 3224 |
\(\left [\begin {array}{cc} 4 & -2 \\ -2 & 1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.267 |
|
| 3225 |
\begin{align*}
2 x y^{\prime }&=y \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.268 |
|
| 3226 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 3227 |
\begin{align*}
y^{\prime \prime }-9 y&=13 \sin \left (2 t \right ) \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 3228 |
\begin{align*}
t y^{\prime }+y&=0 \\
y \left (0\right ) &= y_{0} \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✗ |
✓ |
0.268 |
|
| 3229 |
\begin{align*}
9 x^{2} y^{\prime \prime }+3 x \left (x^{2}+3\right ) y^{\prime }-\left (-5 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.268 |
|
| 3230 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (2 x +1\right ) y^{\prime }-\left (6 x +4\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.268 |
|
| 3231 |
\begin{align*}
2 \left (t^{2}-5 t +6\right ) y^{\prime \prime }+\left (2 t -3\right ) y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.268 |
|
| 3232 |
\begin{align*}
-2 y+5 y^{\prime }-3 y^{\prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime \prime \prime }&={\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 3233 |
\begin{align*}
x^{\prime \prime \prime }-6 x^{\prime \prime }+11 x^{\prime }-6 x&={\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 3234 |
\begin{align*}
y^{\prime \prime \prime }&=x \ln \left (x \right ) \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 1 \\
y^{\prime \prime }\left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 3235 |
\begin{align*}
y^{\prime \prime }+y&=4 x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.268 |
|
| 3236 |
\begin{align*}
y^{\prime \prime } \left (1+{\mathrm e}^{x}\right )-2 y^{\prime }-y \,{\mathrm e}^{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.268 |
|
| 3237 |
\begin{align*}
y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+24 y^{\prime \prime }-32 y^{\prime }+15 y&={\mathrm e}^{2 x} \left (15 x \cos \left (2 x \right )+32 \sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 3238 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 3239 |
\begin{align*}
x^{\prime }-x+y^{\prime }+3 y&={\mathrm e}^{-t}-1 \\
x^{\prime }+2 x+y^{\prime }+3 y&=1+{\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 3240 |
\begin{align*}
5 x^{5} y^{\prime \prime \prime \prime }+4 x^{4} y^{\prime \prime \prime }+x^{2} y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 3241 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (6-7 x \right ) y^{\prime }+8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 3242 |
\begin{align*}
\left (3 x -1\right ) y^{\prime \prime }-\left (3 x +2\right ) y^{\prime }-\left (6 x -8\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 3243 |
\begin{align*}
9 x^{2} y^{\prime \prime }+3 x \left (-x^{2}+1\right ) y^{\prime }+\left (7 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 3244 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 3245 |
\begin{align*}
\left (-4 x^{2}+1\right ) y^{\prime \prime }-20 x y^{\prime }-16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 3246 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.269 |
|
| 3247 |
\begin{align*}
x^{\prime }&=-2 y \\
y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 3248 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=8 \,{\mathrm e}^{t}+5 t \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.269 |
|
| 3249 |
\begin{align*}
6 y^{\prime \prime }-7 y^{\prime }-20 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3250 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3251 |
\begin{align*}
y^{\prime }&=1+y^{2} \\
y \left (1\right ) &= -1 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3252 |
\begin{align*}
\left (2 x +3\right ) y^{\prime }&=y+\sqrt {2 x +3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3253 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }-y x -x^{2}-4&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.270 |
|
| 3254 |
\begin{align*}
y^{\prime }+y&=\frac {1}{x^{2}} \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.270 |
|
| 3255 |
\begin{align*}
-2 y+5 y^{\prime }-3 y^{\prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime \prime \prime }&=x \,{\mathrm e}^{x}+3 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3256 |
\begin{align*}
\left (x +4\right ) y^{\prime \prime }+\left (x +2\right ) y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.270 |
|
| 3257 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+3 x^{2} y^{\prime }-\left (6-x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.270 |
|
| 3258 |
\begin{align*}
x^{2} \left (2 x +1\right ) y^{\prime \prime }+x \left (9+13 x \right ) y^{\prime }+\left (7+5 x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.270 |
|
| 3259 |
\begin{align*}
x y^{\prime \prime }+3 y^{\prime }+4 x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3260 |
\begin{align*}
y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3261 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3262 |
\(\left [\begin {array}{cc} -2 & -4 \\ 1 & 3 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.270 |
|
| 3263 |
\begin{align*}
x^{\prime }&=2 y \\
y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3264 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+54 x y^{\prime }+42 y&=0 \\
y \left (1\right ) &= 5 \\
y^{\prime }\left (1\right ) &= 0 \\
y^{\prime \prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3265 |
\begin{align*}
5 x y^{2}+5 y+\left (5 x^{2} y+5 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3266 |
\begin{align*}
x y^{\prime \prime \prime }-x y^{\prime \prime }-y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.270 |
|
| 3267 |
\begin{align*}
\left (y^{2}+2 y x \right ) \left (x^{2}+2 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3268 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+6 y&=250 \,{\mathrm e}^{t} \cos \left (t \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -7 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3269 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3270 |
\begin{align*}
\left (x +1\right ) y^{\prime }-n y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.270 |
|
| 3271 |
\begin{align*}
x^{2} y^{\prime \prime }+\cos \left (x \right ) y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.271 |
|
| 3272 |
\begin{align*}
4 y^{\prime \prime }+8 y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 3273 |
\begin{align*}
y^{\prime \prime }+4 y&=10 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 3274 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x^{3}+2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.271 |
|
| 3275 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }-y x -x^{3}+2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.271 |
|
| 3276 |
\begin{align*}
z y^{\prime \prime }-2 y^{\prime }+y z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 3277 |
\begin{align*}
z y^{\prime \prime }+\left (2 z -3\right ) y^{\prime }+\frac {4 y}{z}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 3278 |
\begin{align*}
16 x^{2} y^{\prime \prime }+32 x y^{\prime }+\left (x^{4}-12\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 3279 |
\begin{align*}
x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x \left (-x^{2}+1\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.271 |
|
| 3280 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }+\left (3 x -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.271 |
|
| 3281 |
\begin{align*}
-4 y^{\prime }+y^{\prime \prime \prime }&=-3 \,{\mathrm e}^{2 x}+x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 3282 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.271 |
|
| 3283 |
\begin{align*}
6 y^{\prime \prime }-y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.272 |
|
| 3284 |
\begin{align*}
t y^{\prime \prime }-\left (t^{2}+2\right ) y^{\prime }+y t&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.272 |
|
| 3285 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+\left (x +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.272 |
|
| 3286 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {9}{4}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.272 |
|
| 3287 |
\begin{align*}
y^{\prime \prime }+\left (x -3\right ) y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.272 |
|
| 3288 |
\begin{align*}
9 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+3 x \left (13 x^{2}+7 x +1\right ) y^{\prime }+\left (25 x^{2}+4 x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.272 |
|
| 3289 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (x -4\right ) y^{\prime }}{2 x \left (x -2\right )}-\frac {\left (x -3\right ) y}{2 x^{2} \left (x -2\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.272 |
|
| 3290 |
\begin{align*}
6 x y^{\prime \prime }+6 x^{2} y^{\prime \prime \prime }+x^{3} y^{\prime \prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.272 |
|
| 3291 |
\begin{align*}
20 y-9 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.272 |
|
| 3292 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }-5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.272 |
|
| 3293 |
\begin{align*}
x^{\prime \prime \prime \prime }+8 x^{\prime \prime }+16 x&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
x^{\prime \prime }\left (0\right ) &= 0 \\
x^{\prime \prime \prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3294 |
\begin{align*}
y^{\prime \prime }+\omega ^{2} y&=\cos \left (2 t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3295 |
\begin{align*}
y^{\prime }+\sin \left (t \right ) y&=0 \\
y \left (0\right ) &= {\frac {3}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3296 |
\begin{align*}
y^{\prime \prime }-y&=8 \sin \left (t \right )-6 \cos \left (t \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3297 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=10 \cos \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3298 |
\begin{align*}
\left (1+{\mathrm e}^{x}\right ) y^{\prime }+2 y \,{\mathrm e}^{x}&=\left (1+{\mathrm e}^{x}\right ) {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3299 |
\begin{align*}
2 y^{\prime \prime }+y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.273 |
|
| 3300 |
\begin{align*}
2 y x +3+\left (x^{2}-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.273 |
|