2.138   ODE No. 138

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

Mathematica : cpu = 0.0571296 (sec), leaf count = 13

DSolve[-x^2 - x*y[x] - y[x]^2 + x^2*Derivative[1][y][x] == 0,y[x],x]
 
\[\{\{y(x)\to x \tan (\log (x)+c_1)\}\}\]

Maple : cpu = 0.043 (sec), leaf count = 11

dsolve(x^2*diff(y(x),x)-y(x)^2-x*y(x)-x^2 = 0,y(x))
 
\[y \left (x \right ) = \tan \left (\ln \left (x \right )+c_{1} \right ) x\]