ODE No. 217

\[ \left (y(x)-x^2\right ) y'(x)-x=0 \] Mathematica : cpu = 0.0263249 (sec), leaf count = 29

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

\[\left \{\left \{y(x)\to x^2+\frac {1}{2} \left (1+W\left (-e^{-2 x^2-1+c_1}\right )\right )\right \}\right \}\] Maple : cpu = 0.037 (sec), leaf count = 23

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

\[y \left (x \right ) = x^{2}+\frac {\LambertW \left (-4 c_{1} {\mathrm e}^{-2 x^{2}-1}\right )}{2}+\frac {1}{2}\]