| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 11501 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (5-x \right ) y^{\prime }+4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.946 |
|
| 11502 |
\begin{align*}
x^{2} y^{\prime \prime }+3 y^{\prime } x +\left (4 x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.946 |
|
| 11503 |
\begin{align*}
y^{\prime \prime }&=-\frac {y^{\prime }}{x^{3}}+\frac {2 y}{x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.946 |
|
| 11504 |
\begin{align*}
y^{\prime }&=y^{3}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.946 |
|
| 11505 |
\begin{align*}
\left (2 x -1\right )^{3} y^{\prime \prime }+\left (2 x -1\right ) y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.946 |
|
| 11506 |
\begin{align*}
y^{\prime \prime }+4 y&=t \sin \left (t \right ) \\
y \left (0\right ) &= {\frac {7}{9}} \\
y^{\prime }\left (0\right ) &= -{\frac {5}{2}} \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.946 |
|
| 11507 |
\begin{align*}
x_{1}^{\prime }&=-x_{2} \\
x_{2}^{\prime }&=x_{1} \\
x_{3}^{\prime }&=x_{1}-x_{4} \\
x_{4}^{\prime }&=x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11508 |
\begin{align*}
x -y^{2}+2 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11509 |
\begin{align*}
y^{\prime \prime }&=\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11510 |
\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*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11511 |
\begin{align*}
x^{\prime }&=\frac {5 x}{4}+\frac {3 y}{4} \\
y^{\prime }&=a x+\frac {5 y}{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 11512 |
\begin{align*}
x_{1}^{\prime }&=x_{1} \\
x_{2}^{\prime }&=3 x_{1}+x_{2}-2 x_{3} \\
x_{3}^{\prime }&=2 x_{1}+2 x_{2}+x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 11513 |
\begin{align*}
a^{2} x^{-1+a} y+\left (1-2 a \right ) x^{a} y^{\prime }+x^{1+a} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.948 |
|
| 11514 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}+y_{2}-2 y_{3} \\
y_{2}^{\prime }&=3 y_{2}-2 y_{3} \\
y_{3}^{\prime }&=3 y_{1}+y_{2}-3 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 11515 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }+16 \left (2+x \right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 11516 |
\begin{align*}
x^{\prime }&=x-y-z \\
y^{\prime }&=y+3 z \\
z^{\prime }&=3 y+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 11517 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 11518 |
\begin{align*}
t^{2} y^{\prime \prime }-2 y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11519 |
\begin{align*}
y&=x \left (1+y^{\prime }\right )+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11520 |
\begin{align*}
2 x^{\prime }+y^{\prime }-x-y&={\mathrm e}^{-t} \\
x^{\prime }+2 x+y^{\prime }+y&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11521 |
\begin{align*}
y^{\prime \prime }&=f \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 11522 |
\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 \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11523 |
\begin{align*}
y_{1}^{\prime }&=4 y_{1}-2 y_{2}-2 y_{3} \\
y_{2}^{\prime }&=-2 y_{1}+3 y_{2}-y_{3} \\
y_{3}^{\prime }&=2 y_{1}-y_{2}+3 y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11524 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=\left (3 t^{7}-5 t^{4}\right ) {\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11525 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11526 |
\begin{align*}
-x^{2} y^{\prime }+x^{3} y^{\prime \prime }&=-x^{2}+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11527 |
\begin{align*}
\left (x^{2}-2 x \right ) y^{\prime \prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11528 |
\begin{align*}
q^{\prime }&=k \left (q-70\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11529 |
\begin{align*}
\left (x^{2}+x -6\right ) y^{\prime \prime }+\left (x +3\right ) y^{\prime }+\left (x -2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11530 |
\begin{align*}
2 x^{\prime }+y^{\prime }+x+5 y&=4 t \\
x^{\prime }+y^{\prime }+2 x+2 y&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11531 |
\begin{align*}
4 {y^{\prime }}^{2} x \left (x -a \right ) \left (x -b \right )&=\left (3 x^{2}-2 \left (a +b \right ) x +a b \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 11532 |
\begin{align*}
x_{1}^{\prime }&=x_{3} \\
x_{2}^{\prime }&=x_{4} \\
x_{3}^{\prime }&=-2 x_{1}+2 x_{2}-3 x_{3}+x_{4} \\
x_{4}^{\prime }&=2 x_{1}-2 x_{2}+x_{3}-3 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.951 |
|
| 11533 |
\begin{align*}
x^{\prime }&=2 y \\
y^{\prime }&=-2 x \\
z^{\prime }&=2 h \\
h^{\prime }&=-2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.951 |
|
| 11534 |
\begin{align*}
y^{\prime \prime }&=\frac {2 x y^{\prime }}{x^{2}-1}-\frac {\left (a \left (1+a \right )-a \,x^{2} \left (a +3\right )\right ) y}{x^{2} \left (x^{2}-1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.951 |
|
| 11535 |
\begin{align*}
m y^{\prime \prime }+k y&=f \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.951 |
|
| 11536 |
\begin{align*}
4 x^{\prime }-y^{\prime }+3 x&=\sin \left (t \right ) \\
x^{\prime }+y&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.952 |
|
| 11537 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }&=8 \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.952 |
|
| 11538 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&={\mathrm e}^{-2 t} \sqrt {-t^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.953 |
|
| 11539 |
\begin{align*}
y^{\prime \prime }+4 y&=t^{2}+3 \,{\mathrm e}^{t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.953 |
|
| 11540 |
\begin{align*}
x^{2} \left (1-\ln \left (x \right )\right ) y^{\prime \prime }+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.953 |
|
| 11541 |
\begin{align*}
z y^{\prime \prime }-2 y^{\prime }+9 z^{5} y&=0 \\
\end{align*} Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11542 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (2 x^{4}-5 x \right ) y^{\prime }+\left (3 x^{2}+2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11543 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right )^{3} \cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11544 |
\begin{align*}
y^{\prime }&=2 y+\delta \left (t -3\right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11545 |
\begin{align*}
4 y^{\prime \prime }-3 y^{\prime }&=x \,{\mathrm e}^{\frac {3 x}{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 11546 |
\begin{align*}
2 t y^{\prime \prime }+\left (1+t \right ) y^{\prime }-2 y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11547 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (3-2 x \right ) y^{\prime }+\left (1-2 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11548 |
\begin{align*}
-\left (-x^{2}+2\right ) y+x^{3} y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.955 |
|
| 11549 |
\begin{align*}
y y^{\prime \prime }&=-y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.955 |
|
| 11550 |
\begin{align*}
a x -2 y^{\prime } y^{\prime \prime }+x {y^{\prime \prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.955 |
|
| 11551 |
\begin{align*}
y^{\prime \prime }+y&=4 x \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11552 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11553 |
\begin{align*}
4 y+y^{\prime \prime }&=\cot \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11554 |
\begin{align*}
x^{2} y^{\prime \prime }-2 y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 8 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11555 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 11556 |
\begin{align*}
x_{1}^{\prime }&=x_{1} \\
x_{2}^{\prime }&=2 x_{1}+2 x_{2} \\
x_{3}^{\prime }&=3 x_{2}+3 x_{3} \\
x_{4}^{\prime }&=4 x_{3}+4 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.956 |
|
| 11557 |
\begin{align*}
x^{2} \left (10 x^{2}+x +5\right ) y^{\prime \prime }+x \left (48 x^{2}+3 x +4\right ) y^{\prime }+\left (36 x^{2}+x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.956 |
|
| 11558 |
\begin{align*}
y&=y^{\prime } x +2 {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.956 |
|
| 11559 |
\begin{align*}
y^{\prime }-4 y&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.956 |
|
| 11560 |
\begin{align*}
y^{\prime \prime }-\cot \left (x \right ) y^{\prime }+\csc \left (x \right )^{2} y&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.956 |
|
| 11561 |
\begin{align*}
x^{\prime }&=y-z \\
y^{\prime }&=z-x \\
z^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.956 |
|
| 11562 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{i \omega t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.956 |
|
| 11563 |
\begin{align*}
4 x^{2} y^{\prime \prime }-4 x \left (x +1\right ) y^{\prime }+\left (3+2 x \right ) y&=x^{{5}/{2}} {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.957 |
|
| 11564 |
\begin{align*}
x^{2} \left (2 x +1\right ) y^{\prime \prime }-2 x \left (3+14 x \right ) y^{\prime }+\left (6+100 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.957 |
|
| 11565 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=t^{{5}/{2}} {\mathrm e}^{-2 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11566 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (x +3\right ) y^{\prime }+\left (4-x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11567 |
\begin{align*}
-a y-3 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.957 |
|
| 11568 |
\begin{align*}
y^{\prime \prime } x -\left (2+x \right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11569 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x -y x -x^{2}-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.957 |
|
| 11570 |
\begin{align*}
y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.957 |
|
| 11571 |
\begin{align*}
\left (x^{2}-x \right ) y^{\prime \prime }+2 \left (2 x +1\right ) y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.957 |
|
| 11572 |
\begin{align*}
x^{\prime \prime }+x^{\prime }-2 x&=0 \\
x \left (0\right ) &= 0 \\
x \left (\infty \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11573 |
\begin{align*}
y^{\prime \prime }-y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.957 |
|
| 11574 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=7+75 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11575 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }&=3 x \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 11576 |
\begin{align*}
\left ({\mathrm e}^{t}-1\right ) y^{\prime \prime }+{\mathrm e}^{t} y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.958 |
|
| 11577 |
\begin{align*}
y^{\prime \prime }+y&=4 \cos \left (2 x \right )+3 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 11578 |
\begin{align*}
x^{\prime \prime }+\frac {x^{\prime }}{t}&=a \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 11579 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=2 x -40 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 11580 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=z \\
z^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 11581 |
\begin{align*}
\sqrt {-x^{2}+1}\, y^{\prime \prime }+\sqrt {1-{y^{\prime }}^{2}}&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
0.958 |
|
| 11582 |
\begin{align*}
y^{\prime \prime } x +y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 11583 |
\begin{align*}
t y^{\prime \prime }-\left (t +4\right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.959 |
|
| 11584 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\
x_{2}^{\prime }&=3 x_{1}+x_{2} \\
x_{3}^{\prime }&=2 x_{1}-x_{2}+3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 11585 |
\begin{align*}
2 \left (x +1\right ) y-2 x \left (x +1\right ) y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.959 |
|
| 11586 |
\begin{align*}
2 \left (x +5\right ) y-x \left (7+2 x \right ) y^{\prime }+2 x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.959 |
|
| 11587 |
\begin{align*}
\left (a -x \right )^{2} \left (b -x \right )^{2} y^{\prime \prime }&=k^{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.959 |
|
| 11588 |
\begin{align*}
\left (1-x \right ) x y^{\prime \prime }+\left (-5 x +1\right ) y^{\prime }-4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 11589 |
\begin{align*}
x^{2} y^{\prime \prime }+7 y^{\prime } x -7 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 11590 |
\begin{align*}
x^{\prime }&=x+3 y+a \\
y^{\prime }&=x-y+b \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 11591 |
\begin{align*}
x^{\prime }&=y+{\mathrm e}^{t} \\
y^{\prime }&=-2 x+3 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 11592 |
\begin{align*}
6 x^{2} y^{\prime \prime }+\left (x^{3}+11 x \right ) y^{\prime }+\left (-2 x^{2}+1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 11593 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }-12 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11594 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=5 \cos \left (x \right )+10 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11595 |
\begin{align*}
{y^{\prime }}^{2} \left (x^{2}-1\right )-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11596 |
\begin{align*}
y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11597 |
\begin{align*}
t^{2} x^{\prime \prime }-2 x&=t^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11598 |
\begin{align*}
y^{\prime \prime }-\left (\frac {1}{x}+2\right ) y^{\prime }+\left (x +\frac {1}{x^{2}}\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11599 |
\begin{align*}
y^{\prime \prime }&=f \left (x \right ) \\
y \left (0\right ) &= 0 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 11600 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|