2.137   ODE No. 137

\[ x^2 y'(x)-x y(x)-y(x)^2=0 \] Mathematica : cpu = 0.0531233 (sec), leaf count = 16

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

\[\left \{\left \{y(x)\to \frac {x}{-\log (x)+c_1}\right \}\right \}\] Maple : cpu = 0.005 (sec), leaf count = 14

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

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