ODE No. 275

\[ \left (x^2+y(x)^2+x\right ) y'(x)-y(x)=0 \] Mathematica : cpu = 0.122071 (sec), leaf count = 18

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

\[\text {Solve}\left [y(x)-\tan ^{-1}\left (\frac {x}{y(x)}\right )=c_1,y(x)\right ]\] Maple : cpu = 0.071 (sec), leaf count = 30

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

\[c_{1}+\frac {{\mathrm e}^{-2 i y \left (x \right )} \left (i x +y \left (x \right )\right )}{2 i y \left (x \right )+2 x} = 0\]