| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 23201 |
\begin{align*}
12 y-7 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{2 x} \left (x^{3}-5 x^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.028 |
|
| 23202 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=169 \sin \left (2 x \right ) \\
y \left (0\right ) &= -10 \\
y^{\prime }\left (0\right ) &= 9 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.032 |
|
| 23203 |
\begin{align*}
y^{\prime }&=\frac {y \left ({\mathrm e}^{-\frac {x^{2}}{2}} x y+{\mathrm e}^{-\frac {x^{2}}{4}} x +2 y^{2} {\mathrm e}^{-\frac {3 x^{2}}{4}}\right ) {\mathrm e}^{\frac {x^{2}}{4}}}{2 y \,{\mathrm e}^{-\frac {x^{2}}{4}}+2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.036 |
|
| 23204 |
\begin{align*}
y^{\prime \prime }&=\sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.037 |
|
| 23205 |
\begin{align*}
x^{\prime }&=\sqrt {1-x^{2}} \\
x \left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.037 |
|
| 23206 |
\begin{align*}
y^{\prime \prime }-2 y-4 x^{2} {\mathrm e}^{x^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.042 |
|
| 23207 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.045 |
|
| 23208 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.047 |
|
| 23209 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=5 \cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.056 |
|
| 23210 |
\begin{align*}
\left (x^{3}-y\right ) y-x \left (x^{3}+y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.061 |
|
| 23211 |
\begin{align*}
y^{\prime \prime }+a^{2} y&=\cos \left (a x \right )+\cos \left (b x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.072 |
|
| 23212 |
\begin{align*}
\sin \left (x \right )+\sin \left (y\right )+\left (x \cos \left (y\right )+\cos \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.079 |
|
| 23213 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-y&=-x^{4}+3 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.092 |
|
| 23214 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=4 \sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.094 |
|
| 23215 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.099 |
|
| 23216 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.106 |
|
| 23217 |
\begin{align*}
v^{\prime \prime }-6 v^{\prime }+13 v&={\mathrm e}^{-2 u} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.115 |
|
| 23218 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.116 |
|
| 23219 |
\begin{align*}
y^{\prime }-\operatorname {a3} y^{3}-\operatorname {a2} y^{2}-\operatorname {a1} y-\operatorname {a0}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.118 |
|
| 23220 |
\begin{align*}
4 y+y^{\prime \prime }&=2 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.119 |
|
| 23221 |
\begin{align*}
y^{\prime }&=\sigma y^{2}+a y+b \,{\mathrm e}^{x}+c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.149 |
|
| 23222 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+x&=3 \cos \left (t \right )-2 \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.154 |
|
| 23223 |
\begin{align*}
y^{\prime \prime }-2 i y^{\prime }-y&={\mathrm e}^{i x}-2 \,{\mathrm e}^{-i x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.156 |
|
| 23224 |
\begin{align*}
y \cos \left (t \right )+\sin \left (t \right ) y^{\prime }&={\mathrm e}^{t} \\
y \left (1\right ) &= a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.162 |
|
| 23225 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{2 x}}{\left ({\mathrm e}^{x}+1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.162 |
|
| 23226 |
\begin{align*}
-2 y+\left (1-4 x \right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.170 |
|
| 23227 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=\frac {{\mathrm e}^{2 x}}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.179 |
|
| 23228 |
\begin{align*}
x^{\prime \prime }-4 x^{\prime }+4 x&={\mathrm e}^{t}+{\mathrm e}^{2 t}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.183 |
|
| 23229 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}-\left (a y-1\right ) y^{\prime }+2 a^{2} y^{2}-2 b^{2} y^{3}+a y&=0 \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
29.186 |
|
| 23230 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=2 x +{\mathrm e}^{-x}-2 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.188 |
|
| 23231 |
\begin{align*}
y^{\prime }&=-\frac {-y^{3}-y+4 y^{2} \ln \left (x \right )-4 \ln \left (x \right )^{2} y^{3}-1+6 y \ln \left (x \right )-12 \ln \left (x \right )^{2} y^{2}+8 \ln \left (x \right )^{3} y^{3}}{y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.189 |
|
| 23232 |
\begin{align*}
4 x +3 y+2+\left (5 x +4 y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.204 |
|
| 23233 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }-y x&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.213 |
|
| 23234 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=4 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.234 |
|
| 23235 |
\begin{align*}
4 y+y^{\prime \prime }&=x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.237 |
|
| 23236 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=18 \,{\mathrm e}^{-3 x}+8 \sin \left (x \right )+6 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.243 |
|
| 23237 |
\begin{align*}
y y^{\prime } x -y^{2}&=\sqrt {y^{2} x^{2}+x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.251 |
|
| 23238 |
\begin{align*}
y^{\prime \prime }-9 y&={\mathrm e}^{x}+3 \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.254 |
|
| 23239 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-10 y&=7 \,{\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.259 |
|
| 23240 |
\begin{align*}
y-x +\left (x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.269 |
|
| 23241 |
\begin{align*}
12 y-7 y^{\prime }+y^{\prime \prime }&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.275 |
|
| 23242 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+6 y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.278 |
|
| 23243 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+\frac {\lambda y}{x}&=0 \\
y \left (1\right ) &= 0 \\
y \left ({\mathrm e}^{\pi }\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.318 |
|
| 23244 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{-x} \sec \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.323 |
|
| 23245 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=2 x^{3}+5 x^{2}-7 x +2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.329 |
|
| 23246 |
\begin{align*}
y^{\prime \prime }&=1+{y^{\prime }}^{2} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.336 |
|
| 23247 |
\begin{align*}
x^{3} y^{\prime \prime }+3 x^{2} y^{\prime }+y x -1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.347 |
|
| 23248 |
\begin{align*}
y^{\prime \prime }+9 y&=\ln \left (2 \sin \left (\frac {x}{2}\right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.355 |
|
| 23249 |
\begin{align*}
\left (x +y+1\right ) y^{\prime }+1+4 x +3 y&=0 \\
y \left (3\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.362 |
|
| 23250 |
\begin{align*}
y+\left (3 x +2\right ) y^{\prime }+x \left (x +1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.369 |
|
| 23251 |
\begin{align*}
y^{\prime } x -4 \sqrt {y^{2}-x^{2}}&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.370 |
|
| 23252 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (1-3 x \right ) y}{\left (x -1\right ) \left (2 x -1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.375 |
|
| 23253 |
\begin{align*}
-12 y-2 \left (2 x +1\right ) y^{\prime }+\left (2 x +1\right )^{2} y^{\prime \prime }&=6 x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.395 |
|
| 23254 |
\begin{align*}
y y^{\prime }&=\frac {3 y}{\left (a x +b \right )^{{1}/{3}} x^{{5}/{3}}}+\frac {3}{\left (a x +b \right )^{{2}/{3}} x^{{7}/{3}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.403 |
|
| 23255 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.409 |
|
| 23256 |
\begin{align*}
m y^{\prime \prime }+b y^{\prime }+k y&={\mathrm e}^{c t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.414 |
|
| 23257 |
\begin{align*}
y^{\prime \prime }+2 z \omega _{n} y^{\prime }+\omega _{n}^{2} y&={\mathrm e}^{c t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.423 |
|
| 23258 |
\begin{align*}
y^{\prime }&=\frac {-8 x^{2} y^{3}+16 x y^{2}+16 x y^{3}-8+12 y x -6 y^{2} x^{2}+x^{3} y^{3}}{16 \left (-2+y x -2 y\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.424 |
|
| 23259 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{-x} \sin \left ({\mathrm e}^{-x}\right )+\cos \left ({\mathrm e}^{-x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.430 |
|
| 23260 |
\begin{align*}
\left (x +1\right )^{2} y^{\prime \prime }-\left (x +1\right ) y^{\prime }+6 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.444 |
|
| 23261 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=6 x \,{\mathrm e}^{-x} \left (1-{\mathrm e}^{-x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.464 |
|
| 23262 |
\begin{align*}
y^{\prime }&=\frac {2 y}{x} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.467 |
|
| 23263 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.468 |
|
| 23264 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=t^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.469 |
|
| 23265 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.480 |
|
| 23266 |
\begin{align*}
y^{\prime } x&=\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.494 |
|
| 23267 |
\begin{align*}
x^{n} y^{\prime \prime }+\left (2 x^{n -1}+a \,x^{2}+b x \right ) y^{\prime }+b y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
29.496 |
|
| 23268 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 y^{\prime } x -\left (4 x^{2}+1\right ) y-4 \sqrt {x^{3}}\, {\mathrm e}^{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.500 |
|
| 23269 |
\begin{align*}
4 y+y^{\prime \prime }&=4 \cos \left (2 x \right )+6 \cos \left (x \right )+8 x^{2}-4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.503 |
|
| 23270 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.509 |
|
| 23271 |
\begin{align*}
3 x -5 y+\left (x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.517 |
|
| 23272 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&=-4 \cos \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.524 |
|
| 23273 |
\begin{align*}
4 x^{2} y^{\prime \prime }+8 y^{\prime } x -\left (4 x^{2}+12 x +3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.528 |
|
| 23274 |
\begin{align*}
t x^{\prime \prime }+4 x^{\prime }+\frac {2 x}{t}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.530 |
|
| 23275 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-4 y&={\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.533 |
|
| 23276 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+8 y&={\mathrm e}^{2 x} \left (\cos \left (2 x \right )+\sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.540 |
|
| 23277 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+4 y&=2 \sinh \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.540 |
|
| 23278 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (a \,x^{2}+b \right ) x y^{\prime }+f \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
29.574 |
|
| 23279 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.579 |
|
| 23280 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+10 y&=100 \\
y \left (0\right ) &= 10 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.584 |
|
| 23281 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=2 x^{2}+{\mathrm e}^{x}+2 x \,{\mathrm e}^{x}+4 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.600 |
|
| 23282 |
\begin{align*}
3 y+y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
29.609 |
|
| 23283 |
\begin{align*}
4 y+y^{\prime \prime }&=\tan \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.619 |
|
| 23284 |
\begin{align*}
y^{\prime }&=\sqrt {y^{2}-1} \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.632 |
|
| 23285 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 x \,{\mathrm e}^{2 x}-\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.695 |
|
| 23286 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 t} \arctan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.696 |
|
| 23287 |
\begin{align*}
y^{\prime }&=a \,{\mathrm e}^{\mu x} y^{2}+a b \,{\mathrm e}^{\left (\lambda +\mu \right ) x} y-b \lambda \,{\mathrm e}^{\lambda x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
29.698 |
|
| 23288 |
\begin{align*}
y+\left (2 x -3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.705 |
|
| 23289 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=\frac {{\mathrm e}^{-x}}{\sin \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.709 |
|
| 23290 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\left (-6 x -8\right ) \cos \left (2 x \right )+\left (8 x -11\right ) \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.721 |
|
| 23291 |
\begin{align*}
\left (\operatorname {a2} x +\operatorname {b2} \right ) y^{\prime \prime }+\left (\operatorname {a1} x +\operatorname {b1} \right ) y^{\prime }+\left (\operatorname {a0} x +\operatorname {b0} \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
29.723 |
|
| 23292 |
\begin{align*}
m y^{\prime \prime }+k y&=\cos \left (\sqrt {\frac {k}{m}}\, t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.723 |
|
| 23293 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-6 y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.746 |
|
| 23294 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=2 t^{2}+4 \,{\mathrm e}^{2 t} t +t \sin \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.755 |
|
| 23295 |
\begin{align*}
y^{\prime \prime }+b y^{\prime }+c y&=f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.756 |
|
| 23296 |
\begin{align*}
2 x^{2} y^{\prime \prime }-3 y^{\prime } x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.766 |
|
| 23297 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=1+3 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.785 |
|
| 23298 |
\begin{align*}
\sqrt {x +y+1}\, y^{\prime }&=\sqrt {x +y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.793 |
|
| 23299 |
\begin{align*}
y^{\prime \prime }-y&=x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.802 |
|
| 23300 |
\begin{align*}
4 y+y^{\prime \prime }&={\mathrm e}^{x}+4 \sin \left (2 x \right )+2 \cos \left (x \right )^{2}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
29.807 |
|