ODE No. 220

\[ -x^3+2 y(x) y'(x)-x y(x)^2=0 \]

✓ Mathematica : cpu = 0.0893104 (sec), leaf count = 57

DSolve[-x^3 - x*y[x]^2 + 2*y[x]*Derivative[1][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to -\sqrt {-x^2+c_1 e^{\frac {x^2}{2}}-2}\right \},\left \{y(x)\to \sqrt {-x^2+c_1 e^{\frac {x^2}{2}}-2}\right \}\right \}\]

✓ Maple : cpu = 0.023 (sec), leaf count = 43

dsolve(2*y(x)*diff(y(x),x)-x*y(x)^2-x^3 = 0,y(x))

\[y \left (x \right ) = \sqrt {{\mathrm e}^{\frac {x^{2}}{2}} c_{1} -x^{2}-2}\]