\[ x^2 y'(x)^2+3 x y(x) y'(x)+2 y(x)^2=0 \] ✓ Mathematica : cpu = 0.0257594 (sec), leaf count = 21
DSolve[2*y[x]^2 + 3*x*y[x]*Derivative[1][y][x] + x^2*Derivative[1][y][x]^2 == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_1}{x^2}\right \},\left \{y(x)\to \frac {c_1}{x}\right \}\right \}\] ✓ Maple : cpu = 0.016 (sec), leaf count = 17
dsolve(x^2*diff(y(x),x)^2+3*x*y(x)*diff(y(x),x)+2*y(x)^2 = 0,y(x))
\[y \left (x \right ) = \frac {c_{1}}{x}\]