| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 27501 |
\begin{align*}
y \left (y^{3}-2 x^{3}\right ) y^{\prime }+\left (2 y^{3}-x^{3}\right ) x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
139.227 |
|
| 27502 |
\begin{align*}
2 x y y^{\prime }&=\left (1-n \right ) y^{2}+\left (a \left (1+2 n \right ) x +2 n -1\right ) y-a^{2} n \,x^{2}-b x -n \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
139.290 |
|
| 27503 |
\begin{align*}
2 \left (1-b \right ) x y+\left (b \,x^{2}+a \right ) y^{\prime }+x \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
139.304 |
|
| 27504 |
\begin{align*}
y y^{\prime }-y&=-\frac {12 x}{49}+\frac {6 A \left (-3 \sqrt {x}+23 A +\frac {12 A^{2}}{\sqrt {x}}\right )}{49} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
139.533 |
|
| 27505 |
\begin{align*}
y y^{\prime }-y&=-\frac {x}{4}+\frac {6 A \left (\sqrt {x}+8 A +\frac {5 A^{2}}{\sqrt {x}}\right )}{49} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
139.636 |
|
| 27506 |
\begin{align*}
y^{\prime }&=t y^{a} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
139.743 |
|
| 27507 |
\begin{align*}
\left (a \,x^{2}+b x +c \right ) y^{\prime \prime }+\left (d x +f \right ) y^{\prime }+g y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
140.270 |
|
| 27508 |
\begin{align*}
y^{\prime \prime }&=-\frac {b x y^{\prime }}{\left (x^{2}-1\right ) a}-\frac {\left (c \,x^{2}+d x +e \right ) y}{a \left (x^{2}-1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
140.492 |
|
| 27509 |
\begin{align*}
y y^{\prime }+\frac {a \left (33 x +2\right ) y}{30 x^{{6}/{5}}}&=-\frac {a^{2} \left (x -1\right ) \left (9 x -4\right )}{30 x^{{7}/{5}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
140.775 |
|
| 27510 |
\begin{align*}
{y^{\prime }}^{2} x +y y^{\prime }+x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
140.987 |
|
| 27511 |
\begin{align*}
y y^{\prime }+\frac {a \left (1+5 x \right ) y}{2 \sqrt {x}}&=a^{2} \left (-x^{2}+1\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
141.103 |
|
| 27512 |
\begin{align*}
{y^{\prime }}^{4}&=4 y \left (x y^{\prime }-2 y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
141.269 |
|
| 27513 |
\begin{align*}
2 a^{2} y+a y^{2}+\left (3 a +y\right ) y^{\prime }+y^{\prime \prime }&=y^{3} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
141.396 |
|
| 27514 |
\begin{align*}
\left (-k +p \right ) \left (1+k +p \right ) y+\left (1+k \right ) \left (1-2 x \right ) y^{\prime }+x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
141.556 |
|
| 27515 |
\begin{align*}
x^{2} \left (x^{2}+a \right ) y^{\prime \prime }+\left (b \,x^{2}+c \right ) x y^{\prime }+d y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
141.715 |
|
| 27516 |
\begin{align*}
-\left (-x^{4}+4 a \,x^{2}+n^{2}\right ) y+x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
141.732 |
|
| 27517 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+\nu \left (\nu +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
141.829 |
|
| 27518 |
\begin{align*}
t \left (-4+t \right ) y^{\prime \prime }+3 t y^{\prime }+4 y&=2 \\
y \left (3\right ) &= 0 \\
y^{\prime }\left (3\right ) &= -1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
142.413 |
|
| 27519 |
\begin{align*}
\left (1+y^{2}\right ) y^{\prime \prime }-2 y {y^{\prime }}^{2}-2 \left (1+y^{2}\right ) y^{\prime }&=y^{2} \left (1+y^{2}\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
142.660 |
|
| 27520 |
\begin{align*}
1+y x +y y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
142.749 |
|
| 27521 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (2 a x +b \right ) y^{\prime }}{x \left (a x +b \right )}-\frac {\left (a v x -b \right ) y}{\left (a x +b \right ) x^{2}}+A x \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
142.835 |
|
| 27522 |
\begin{align*}
c x y+\left (a -\left (a +1\right ) x^{2}\right ) y^{\prime }+x \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
143.367 |
|
| 27523 |
\begin{align*}
y y^{\prime }-\frac {a \left (x +4\right ) y}{5 x^{{8}/{5}}}&=\frac {a^{2} \left (x -1\right ) \left (7+3 x \right )}{5 x^{{3}/{5}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
143.569 |
|
| 27524 |
\begin{align*}
x^{3} \left (\ln \left (x \right )-1\right ) y^{\prime \prime }-x^{2} y^{\prime }+y x&=2 \ln \left (x \right ) \\
y \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
143.861 |
|
| 27525 |
\begin{align*}
3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
143.994 |
|
| 27526 |
\begin{align*}
{y^{\prime }}^{2} x +y y^{\prime }+a&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
144.307 |
|
| 27527 |
\begin{align*}
y y^{\prime }+\frac {a \left (7 x -12\right ) y}{10 x^{{7}/{5}}}&=-\frac {a^{2} \left (x -1\right ) \left (x -16\right )}{10 x^{{9}/{5}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
145.724 |
|
| 27528 |
\begin{align*}
y y^{\prime }-\frac {a \left (x +4\right ) y}{5 x^{{8}/{5}}}&=\frac {a^{2} \left (x -1\right ) \left (7+3 x \right )}{5 x^{{11}/{5}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
145.727 |
|
| 27529 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (a \,x^{3}+a b x -x^{2}+b \right ) y^{\prime }+y a^{2} b x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
145.832 |
|
| 27530 |
\begin{align*}
\left (a \,x^{2}+2 b x y+c y^{2}\right ) y^{\prime }+k \,x^{2}+2 a x y+b y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
145.987 |
|
| 27531 |
\begin{align*}
y^{\prime }&=\frac {2 x +5 y}{2 x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
146.321 |
|
| 27532 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+\left (2 a +1\right ) y^{\prime }-b \left (2 a +b \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
146.365 |
|
| 27533 |
\begin{align*}
y y^{\prime }+y^{\prime \prime }&=x^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
146.366 |
|
| 27534 |
\begin{align*}
x^{2} \left (a \,x^{n}+b \right )^{2} y^{\prime \prime }+\left (n +1\right ) x \left (a^{2} x^{2 n}-b^{2}\right ) y^{\prime }+c y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
146.770 |
|
| 27535 |
\begin{align*}
y y^{\prime }+\frac {a \left (13 x -18\right ) y}{15 x^{{7}/{5}}}&=-\frac {4 a^{2} \left (x -1\right ) \left (-6+x \right )}{15 x^{{9}/{5}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
147.414 |
|
| 27536 |
\begin{align*}
y y^{\prime }+\frac {3 a \left (13 x -8\right ) y}{20 x^{{7}/{5}}}&=-\frac {a^{2} \left (x -1\right ) \left (27 x -32\right )}{20 x^{{9}/{5}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
147.806 |
|
| 27537 |
\begin{align*}
y y^{\prime }&=-n y^{2}+a \left (1+2 n \right ) {\mathrm e}^{x} y+b y-a^{2} n \,{\mathrm e}^{2 x}-a b \,{\mathrm e}^{x}+c \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
147.957 |
|
| 27538 |
\begin{align*}
n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
148.217 |
|
| 27539 |
\begin{align*}
x \left (x^{2}+1\right ) y^{\prime \prime }-\left (2 \left (n -1\right ) x^{2}+2 n -1\right ) y^{\prime }+\left (v +n \right ) \left (-v +n -1\right ) x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
148.247 |
|
| 27540 |
\begin{align*}
y y^{\prime }&=x^{n -1} \left (\left (1+2 n \right ) x +a n \right ) y-n \,x^{2 n} \left (x +a \right ) \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
148.565 |
|
| 27541 |
\begin{align*}
a \left (x^{2}-1\right )^{2} y^{\prime \prime }+b x \left (x^{2}-1\right ) y^{\prime }+\left (c \,x^{2}+d x +e \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
148.688 |
|
| 27542 |
\begin{align*}
c y+\left (b x +a \right ) y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
149.148 |
|
| 27543 |
\begin{align*}
x \left (x +2\right ) y^{\prime \prime }+2 \left (n +1+\left (n +1-2 l \right ) x -l \,x^{2}\right ) y^{\prime }+\left (2 l \left (p -n -1\right ) x +2 p l +m \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
149.288 |
|
| 27544 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (\left (a +b +1\right ) x +\alpha +\beta -1\right ) y^{\prime }}{x \left (x -1\right )}-\frac {\left (a b x -\alpha \beta \right ) y}{x^{2} \left (x -1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
149.927 |
|
| 27545 |
\begin{align*}
\left (\operatorname {a2} +\operatorname {b2} \,x^{k}\right ) y+x \left (\operatorname {a1} +\operatorname {b1} \,x^{k}\right ) y^{\prime }+x^{2} \left (\operatorname {a0} +\operatorname {b0} \,x^{k}\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
150.319 |
|
| 27546 |
\begin{align*}
\left (A x y+A k y+B \,x^{2}+B k x \right ) y^{\prime }&=c y^{2}+d x y+k \left (d -B \right ) y \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
150.506 |
|
| 27547 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (a \,x^{2}+a -1\right ) y^{\prime }}{x \left (x^{2}+1\right )}-\frac {\left (b \,x^{2}+c \right ) y}{x^{2} \left (x^{2}+1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
151.059 |
|
| 27548 |
\begin{align*}
\left (A x y+B \,x^{2}+k x \right ) y^{\prime }&=A y^{2}+c x y+d \,x^{2}+\left (-A \beta +k \right ) y-c \beta x -k \beta \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
151.098 |
|
| 27549 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (a \,x^{2}+a -2\right ) y^{\prime }}{x \left (x^{2}-1\right )}-\frac {b y}{x^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
151.260 |
|
| 27550 |
\begin{align*}
x^{\prime }&=a x+g y+\beta z \\
y^{\prime }&=g x+b y+\alpha z \\
z^{\prime }&=\beta x+\alpha y+c z \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
151.467 |
|
| 27551 |
\begin{align*}
y y^{\prime }-\frac {2 a \left (3 x +2\right ) y}{5 x^{{8}/{5}}}&=\frac {a^{2} \left (x -1\right ) \left (8 x +1\right )}{5 x^{{11}/{5}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
151.667 |
|
| 27552 |
\begin{align*}
\left (x +y\right )^{2} y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
151.775 |
|
| 27553 |
\begin{align*}
\left (\operatorname {c2} \,x^{2}+\operatorname {b2} x +\operatorname {a2} \right ) y+\operatorname {a1} x \left (-x^{2}+1\right ) y^{\prime }+\left (-x^{2}+1\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
152.096 |
|
| 27554 |
\begin{align*}
x^{\prime \prime }-2 {x^{\prime }}^{2}+x^{\prime }-2 x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
152.345 |
|
| 27555 |
\begin{align*}
n \left (1+a +b +n \right ) y+\left (-a +b -\left (2+a +b \right ) x \right ) y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
152.966 |
|
| 27556 |
\begin{align*}
{y^{\prime }}^{4}&=4 y \left (x y^{\prime }-2 y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
153.132 |
|
| 27557 |
\begin{align*}
y y^{\prime }-\frac {3 a y}{x^{{7}/{4}}}&=\frac {a^{2} \left (x -1\right ) \left (x -9\right )}{4 x^{{5}/{2}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
153.186 |
|
| 27558 |
\begin{align*}
y y^{\prime }+\frac {a \left (-6+x \right ) y}{5 x^{{7}/{5}}}&=\frac {2 a^{2} \left (x -1\right ) \left (x +4\right )}{5 x^{{9}/{5}}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
153.290 |
|
| 27559 |
\begin{align*}
y y^{\prime }-\frac {6 a \left (1+4 x \right ) y}{5 x^{{7}/{5}}}&=\frac {a^{2} \left (x -1\right ) \left (27 x +8\right )}{5 x^{{9}/{5}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
153.632 |
|
| 27560 |
\begin{align*}
\left (\operatorname {a4} \,x^{4}+\operatorname {a2} \,x^{2}+\operatorname {a0} \right ) y-2 x \left (a^{2}-x^{2}\right ) y^{\prime }+\left (a^{2}-x^{2}\right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
154.233 |
|
| 27561 |
\begin{align*}
y y^{\prime }-y&=-\frac {12 x}{49}+\frac {4 A \left (-10 \sqrt {x}+27 A +\frac {10 A^{2}}{\sqrt {x}}\right )}{49} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
154.270 |
|
| 27562 |
\begin{align*}
-\left (k -p \right ) \left (1+k +p \right ) y+2 \left (1-\left (3-2 k \right ) x \right ) y^{\prime }+4 x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
154.917 |
|
| 27563 |
\begin{align*}
y y^{\prime }-y&=-\frac {6 x}{25}+\frac {6 A \left (2 \sqrt {x}+7 A +\frac {4 A^{2}}{\sqrt {x}}\right )}{25} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
155.432 |
|
| 27564 |
\begin{align*}
\left (x +y\right ) y^{\prime }&=y \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
155.518 |
|
| 27565 |
\begin{align*}
x \left (x^{2}+1\right ) y^{\prime \prime }+\left (2 \left (n +1\right ) x^{2}+2 n +1\right ) y^{\prime }-\left (v -n \right ) \left (v +n +1\right ) x y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
156.048 |
|
| 27566 |
\begin{align*}
y y^{\prime }-y&=\frac {9 x}{32}+\frac {15 \sqrt {b^{2}+x^{2}}}{32}+\frac {3 b^{2}}{64 \sqrt {b^{2}+x^{2}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
156.392 |
|
| 27567 |
\begin{align*}
x \left (x +a \right ) y^{\prime \prime }+\left (b x +c \right ) y^{\prime }+d y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
156.667 |
|
| 27568 |
\begin{align*}
3 \left (x^{2}-4\right ) y^{\prime }+y^{2}-y x -3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
156.880 |
|
| 27569 |
\begin{align*}
y y^{\prime }-y&=\frac {3 x}{8}+\frac {3 \sqrt {a^{2}+x^{2}}}{8}-\frac {a^{2}}{16 \sqrt {a^{2}+x^{2}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
157.621 |
|
| 27570 |
\begin{align*}
9 \left (-x^{2}+1\right ) y^{4} {y^{\prime }}^{2}+6 x y^{5} y^{\prime }+4 x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
158.332 |
|
| 27571 |
\begin{align*}
x y \left (1-{y^{\prime }}^{2}\right )&=\left (-y^{2}-a^{2}+x^{2}\right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
158.413 |
|
| 27572 |
\begin{align*}
n \left (a +n \right ) y+\left (c -\left (a +1\right ) x \right ) y^{\prime }+x \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
158.892 |
|
| 27573 |
\begin{align*}
x \left (-x^{2}+1\right ) y^{\prime }+x^{2}+\left (-x^{2}+1\right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
158.929 |
|
| 27574 |
\begin{align*}
y y^{\prime }-y&=2 x +2 A \left (-10 \sqrt {x}+19 A +\frac {30 A^{2}}{\sqrt {x}}\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
159.896 |
|
| 27575 |
\begin{align*}
c x y+\left (b \,x^{2}+a \right ) y^{\prime }+x \left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
160.302 |
|
| 27576 |
\begin{align*}
y y^{\prime }-y&=A \sqrt {x}+2 A^{2}+\frac {B}{\sqrt {x}} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
160.362 |
|
| 27577 |
\begin{align*}
c y+b y^{\prime }+a {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
161.638 |
|
| 27578 |
\begin{align*}
{y^{\prime }}^{4}-4 y \left (x y^{\prime }-2 y\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
162.135 |
|
| 27579 |
\begin{align*}
y y^{\prime }-y&=-\frac {4 x}{25}+\frac {A \left (7 \sqrt {x}+49 A +\frac {6 A^{2}}{\sqrt {x}}\right )}{50} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
162.208 |
|
| 27580 |
\begin{align*}
y y^{\prime }-y&=-\frac {12 x}{49}+\frac {2 A \left (5 \sqrt {x}+34 A +\frac {15 A^{2}}{\sqrt {x}}\right )}{49} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
162.286 |
|
| 27581 |
\begin{align*}
x y {y^{\prime }}^{2}-\left (x^{2}+y^{2}-1\right ) y^{\prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
162.364 |
|
| 27582 |
\begin{align*}
\left (a \,x^{2}+b \right ) y^{\prime \prime }+a x y^{\prime }+c y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
163.569 |
|
| 27583 |
\begin{align*}
y y^{\prime }-y&=2 x +2 A \left (10 \sqrt {x}+31 A +\frac {30 A^{2}}{\sqrt {x}}\right ) \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
163.618 |
|
| 27584 |
\begin{align*}
x \left (x^{2}-1\right ) y^{\prime }+\left (x^{2}-1\right ) y^{2}-x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
163.671 |
|
| 27585 |
\begin{align*}
y y^{\prime }-y&=-\frac {x}{4}+\frac {A \left (\sqrt {x}+5 A +\frac {3 A^{2}}{\sqrt {x}}\right )}{4} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
164.078 |
|
| 27586 |
\begin{align*}
\left (\operatorname {b2} x +\operatorname {a2} \right ) y+x \left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime }+x^{2} \left (1-x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
164.695 |
|
| 27587 |
\begin{align*}
y^{\prime }&=t^{m} y^{n} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
166.520 |
|
| 27588 |
\begin{align*}
{y^{\prime }}^{2}&=\left (y-a \right ) \left (y-b \right ) \left (y-c \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
167.477 |
|
| 27589 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (3 x^{2}-1\right ) y^{\prime }}{\left (x^{2}-1\right ) x}-\frac {\left (x^{2}-1-\left (2 v +1\right )^{2}\right ) y}{\left (x^{2}-1\right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
167.505 |
|
| 27590 |
\begin{align*}
{\mathrm e}^{-x} y^{\prime }+y^{2}-2 y \,{\mathrm e}^{x}&=1-{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
167.531 |
|
| 27591 |
\begin{align*}
\left (\operatorname {b2} x +\operatorname {a2} \right ) y+x \left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime }+x^{2} \left (\operatorname {a0} +x \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
167.682 |
|
| 27592 |
\begin{align*}
\operatorname {a2} x y+\left (\operatorname {b1} \,x^{2}+\operatorname {a1} \right ) y^{\prime }+x \left (x^{2}+\operatorname {a0} \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
167.971 |
|
| 27593 |
\begin{align*}
y y^{\prime }-y&=-\frac {12 x}{49}+\frac {A \left (25 \sqrt {x}+41 A +\frac {10 A^{2}}{\sqrt {x}}\right )}{98} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
168.394 |
|
| 27594 |
\begin{align*}
\left (x y^{\prime }-y\right )^{2}&=a \left (1+{y^{\prime }}^{2}\right ) \left (x^{2}+y^{2}\right )^{{3}/{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
168.915 |
|
| 27595 |
\begin{align*}
\left (a \,x^{2}+1\right ) y^{\prime \prime }+a x y^{\prime }+b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
169.073 |
|
| 27596 |
\begin{align*}
y y^{\prime }+\frac {a \left (39 x -4\right ) y}{42 x^{{9}/{7}}}&=-\frac {a^{2} \left (x -1\right ) \left (9 x -1\right )}{42 x^{{11}/{7}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
169.372 |
|
| 27597 |
\begin{align*}
y b^{2}+a x y^{\prime }+\left (a \,x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
169.470 |
|
| 27598 |
\begin{align*}
y y^{\prime }-\frac {a \left (4 x +3\right ) y}{14 x^{{8}/{7}}}&=-\frac {a^{2} \left (x -1\right ) \left (16 x +5\right )}{14 x^{{9}/{7}}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
170.075 |
|
| 27599 |
\begin{align*}
y^{\prime \prime }+y^{3} y^{\prime }-y y^{\prime } \sqrt {y^{4}+4 y^{\prime }}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
170.341 |
|
| 27600 |
\begin{align*}
{y^{\prime \prime }}^{2}+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
170.677 |
|