ODE No. 527

\[ -x y(x)^4 y'(x)+y'(x)^3-y(x)^5=0 \] Mathematica : cpu = 0.0151647 (sec), leaf count = 20

DSolve[-y[x]^5 - x*y[x]^4*Derivative[1][y][x] + Derivative[1][y][x]^3 == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \frac {1}{c_1 \left (x-c_1{}^2\right )}\right \}\right \}\] Maple : cpu = 0.854 (sec), leaf count = 43

dsolve(diff(y(x),x)^3-x*y(x)^4*diff(y(x),x)-y(x)^5=0,y(x))
 

\[y \left (x \right ) = -\frac {3 \sqrt {3}}{2 x^{\frac {3}{2}}}\]