2.439   ODE No. 439

x2y(x)2+3xy(x)y(x)+3y(x)2=0

Mathematica : cpu = 0.0513123 (sec), leaf count = 49

DSolve[3*y[x]^2 + 3*x*y[x]*Derivative[1][y][x] + x^2*Derivative[1][y][x]^2 == 0,y[x],x]
 
{{y(x)c1x12(3i3)},{y(x)c1x12i(3+3i)}}

Maple : cpu = 0.062 (sec), leaf count = 33

dsolve(x^2*diff(y(x),x)^2+3*x*y(x)*diff(y(x),x)+3*y(x)^2 = 0,y(x))
 
y(x)=c1xi32x3/2