ODE No. 434

\[ x^2 y'(x)^2-x^2-2 x y(x) y'(x)=0 \] Mathematica : cpu = 0.0498541 (sec), leaf count = 27

DSolve[-x^2 - 2*x*y[x]*Derivative[1][y][x] + x^2*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 = 0.01 (sec), leaf count = 7

dsolve(diff(y(x),x)-1 = 0,y(x))
 

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