| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 8201 |
\begin{align*}
{y^{\prime }}^{2}+2 y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.604 |
|
| 8202 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }+2 \left (x -1\right )^{2} y^{\prime }+3 y&=0 \\
y \left (1\right ) &= a_{0} \\
y^{\prime }\left (1\right ) &= a_{1} \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8203 |
\begin{align*}
\left (2 x^{2}+x +1\right ) y^{\prime \prime }+\left (1+7 x \right ) y^{\prime }+2 y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8204 |
\begin{align*}
2 y^{\prime \prime }-3 y^{\prime }+y&=\left (t^{2}+1\right ) {\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8205 |
\begin{align*}
y^{\prime }&=8 \,{\mathrm e}^{4 t}+t \\
y \left (0\right ) &= 12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8206 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=4 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8207 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+4 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8208 |
\begin{align*}
{y^{\prime }}^{2} x -\left (x^{2}+1\right ) y^{\prime }+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8209 |
\begin{align*}
y-x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime }&=\cos \left (x \right ) \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.605 |
|
| 8210 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{x}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8211 |
\begin{align*}
y^{\prime \prime }+y&=4 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8212 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8213 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8214 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
y^{\prime }\left (1\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8215 |
\begin{align*}
y^{\prime }&=\left (\cos \left (x \right )+y\right )^{2}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8216 |
\begin{align*}
y^{\prime \prime }+4 y&=t +{\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8217 |
\begin{align*}
y^{\prime \prime }+b \left (t \right ) y^{\prime }+c \left (t \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.605 |
|
| 8218 |
\begin{align*}
4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (16 t^{2}-1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8219 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime }&=\sec \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8220 |
\begin{align*}
\left (3-2 x \right ) y^{\prime \prime }+2 y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8221 |
\begin{align*}
y^{\prime \prime } y^{\prime \prime \prime }&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.605 |
|
| 8222 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=2 x^{3}+5 x^{2}-7 x +2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8223 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=4 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8224 |
\begin{align*}
r^{\prime }&=c \\
r \left (0\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8225 |
\begin{align*}
y^{\prime \prime }+9 y&=4 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8226 |
\begin{align*}
y^{\prime \prime }+16 y&=48 \cos \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8227 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=x^{3}+6 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8228 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}-5 y_{2} \\
y_{2}^{\prime }&=y_{1}-2 y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.605 |
|
| 8229 |
\begin{align*}
y^{\prime \prime }-4 y&=\cosh \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8230 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=x^{2} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8231 |
\begin{align*}
f^{\prime \prime }+8 f^{\prime }+12 f&=12 \,{\mathrm e}^{-4 t} \\
f \left (0\right ) &= 0 \\
f^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8232 |
\begin{align*}
y^{\prime }&=x^{2} \ln \left (x \right ) \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8233 |
\begin{align*}
y^{\prime }&=f \left (x \right ) f^{\prime }\left (x \right )+f^{\prime }\left (x \right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8234 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (2 x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8235 |
\begin{align*}
y^{\prime \prime }&=3 \sin \left (x \right )-4 y \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8236 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-5 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8237 |
\(\left [\begin {array}{ccc} 1 & 0 & -1 \\ -2 & 3 & -1 \\ -6 & 6 & 0 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.606 |
|
| 8238 |
\(\left [\begin {array}{ccc} 1 & 1 & -1 \\ -2 & 4 & -1 \\ -4 & 4 & 1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.606 |
|
| 8239 |
\(\left [\begin {array}{cccc} 1 & 0 & -2 & 0 \\ 0 & 1 & -2 & 0 \\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.606 |
|
| 8240 |
\begin{align*}
4 y^{\prime \prime }+4 y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8241 |
\begin{align*}
y^{\prime \prime \prime \prime }+4 y^{\prime \prime }&=24 x^{2}-6 x +14+32 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8242 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }+\left (x^{2}+x -6\right ) y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8243 |
\begin{align*}
\left (2 x^{2}+2\right ) y^{\prime \prime }+2 x y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8244 |
\begin{align*}
4 x^{\prime \prime }+2 x^{\prime }+8 x&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8245 |
\begin{align*}
2 x^{\prime }-3 y^{\prime }&=2 \,{\mathrm e}^{2 t} \\
x^{\prime }-2 y^{\prime }&=0 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8246 |
\begin{align*}
y^{\prime }-z&=0 \\
y-z^{\prime }&=0 \\
\end{align*}
With initial conditions \begin{align*}
y \left (0\right ) &= 1 \\
z \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8247 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+4 y&={\mathrm e}^{x} \cos \left (x \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8248 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&=24 \,{\mathrm e}^{2 x} \cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.606 |
|
| 8249 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&=2 x \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8250 |
\begin{align*}
\left (x^{2}+x +1\right ) y^{\prime \prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8251 |
\begin{align*}
y^{\prime \prime }-\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8252 |
\begin{align*}
x^{\prime }&=4 x-3 y \\
y^{\prime }&=8 x-6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8253 |
\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*} |
✓ |
✓ |
✓ |
✗ |
0.607 |
|
| 8254 |
\begin{align*}
y^{2} {\mathrm e}^{2 x}+\left (y \,{\mathrm e}^{2 x}-2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8255 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=2 x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8256 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-10 y&=-5 \,{\mathrm e}^{3 x} \\
y \left (0\right ) &= 5 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8257 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{x}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8258 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&={\mathrm e}^{t} \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8259 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8260 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=x^{2} {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.607 |
|
| 8261 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=40 \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8262 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=-2 x^{2}+2 x +2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8263 |
\begin{align*}
y^{\prime \prime }&=x +6 y^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.608 |
|
| 8264 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{-x} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8265 |
\begin{align*}
y^{\prime }&={\mathrm e}^{x^{2}} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8266 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{x} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8267 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8268 |
\begin{align*}
2 y+y^{\prime }&=\left \{\begin {array}{cc} 2 & 0\le x <1 \\ 1 & 1\le x \end {array}\right . \\
y \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.608 |
|
| 8269 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=x^{2} {\mathrm e}^{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8270 |
\begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=9 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8271 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\sin \left (t \right ) \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= -3 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8272 |
\begin{align*}
x^{\prime }&=3 x-5 y \\
y^{\prime }&=4 x-5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8273 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x^{3}-4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8274 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8275 |
\begin{align*}
y^{\prime }&=-y+2 z \\
z^{\prime }&=4 y+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.608 |
|
| 8276 |
\begin{align*}
y^{\prime \prime } \left (3+y {y^{\prime }}^{2}\right )&={y^{\prime }}^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.608 |
|
| 8277 |
\begin{align*}
y^{\prime \prime }+9 y&=2 x^{2} {\mathrm e}^{3 x}+5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8278 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+4 x&=1+\delta \left (t -2\right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8279 |
\begin{align*}
\left (2 x^{2}-3 x +2\right ) y^{\prime \prime }-\left (4-6 x \right ) y^{\prime }+2 y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= -1 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8280 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (1-x \right ) y^{\prime }+\left (x^{2}-2 x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8281 |
\begin{align*}
\left (x^{2}-5 x +6\right ) y^{\prime \prime }-3 x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8282 |
\begin{align*}
x^{\prime }&=4 x+y \\
y^{\prime }&=4 y+z \\
z^{\prime }&=4 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8283 |
\begin{align*}
y^{\prime \prime }+\left (x +3\right ) y^{\prime }+\left (y^{2}+3\right ) {y^{\prime }}^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.609 |
|
| 8284 |
\begin{align*}
x^{\prime \prime }&=2 {x^{\prime }}^{3} x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.609 |
|
| 8285 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=4 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8286 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y+8 \,{\mathrm e}^{-x}+3 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8287 |
\begin{align*}
y^{\prime \prime }-4 y&=2-8 x \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8288 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=36 x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8289 |
\begin{align*}
y^{\prime \prime }+16 y&=24 \sin \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8290 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.609 |
|
| 8291 |
\begin{align*}
x^{\prime }&=-y \\
y^{\prime }&=13 x+4 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.610 |
|
| 8292 |
\begin{align*}
x_{1}^{\prime }&=7 x_{1}-5 x_{2} \\
x_{2}^{\prime }&=4 x_{1}+3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.610 |
|
| 8293 |
\begin{align*}
y x -y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.610 |
|
| 8294 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=4 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.610 |
|
| 8295 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=\cos \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.610 |
|
| 8296 |
\begin{align*}
\left (2 x -1\right )^{3} y^{\prime \prime }+\left (2 x -1\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.610 |
|
| 8297 |
\begin{align*}
y^{\prime \prime }-y&=2 x +{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.610 |
|
| 8298 |
\begin{align*}
y^{\prime \prime }+36 y&=\cos \left (6 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.610 |
|
| 8299 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.611 |
|
| 8300 |
\begin{align*}
-4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=4 \,{\mathrm e}^{x}+3 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.611 |
|