ODE No. 527

\[ -x y(x)^4 y'(x)+y'(x)^3-y(x)^5=0 \]

✓ Mathematica : cpu = 0.0126709 (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 = 0.776 (sec), leaf count = 43

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

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