ODE No. 421

\[ x y'(x)^2-2 y(x) y'(x)-x=0 \] Mathematica : cpu = 0.0470449 (sec), leaf count = 27

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

\[\{\{y(x)\to x \sinh (-\log (x)+c_1)\},\{y(x)\to x \sinh (\log (x)+c_1)\}\}\] Maple : cpu = 0.051 (sec), leaf count = 32

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

\[y \left (x \right ) = -i x\]