\[ y(x) y'(x)^2-(y(x)-x) y'(x)-x=0 \] ✓ Mathematica : cpu = 0.0163362 (sec), leaf count = 47
DSolve[-x - (-x + y[x])*Derivative[1][y][x] + y[x]*Derivative[1][y][x]^2 == 0,y[x],x]
\[\left \{\{y(x)\to x+c_1\},\left \{y(x)\to -\sqrt {-x^2+2 c_1}\right \},\left \{y(x)\to \sqrt {-x^2+2 c_1}\right \}\right \}\] ✓ Maple : cpu = 0.025 (sec), leaf count = 33
dsolve(y(x)*diff(y(x),x)^2-(y(x)-x)*diff(y(x),x)-x = 0,y(x))
\[y \left (x \right ) = \sqrt {-x^{2}+c_{1}}\]