ODE No. 171

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

✓ Mathematica : cpu = 0.053787 (sec), leaf count = 17

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

\[\left \{\left \{y(x)\to \frac {x^2}{1+c_1 x}\right \}\right \}\]

✓ Maple : cpu = 0.01 (sec), leaf count = 15

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

\[y \left (x \right ) = \frac {x^{2}}{x c_{1} +1}\]