2.137   ODE No. 137

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

Mathematica : cpu = 0.0623054 (sec), leaf count = 16

DSolve[-(x*y[x]) - y[x]^2 + x^2*Derivative[1][y][x] == 0,y[x],x]
 
{{y(x)xlog(x)+c1}}

Maple : cpu = 0.013 (sec), leaf count = 14

dsolve(x^2*diff(y(x),x)-y(x)^2-x*y(x) = 0,y(x))
 
y(x)=xln(x)+c1