ODE No. 210

\[ y(x) y'(x)+x y(x)^2-4 x=0 \]

✓ Mathematica : cpu = 0.0655176 (sec), leaf count = 47

DSolve[-4*x + x*y[x]^2 + y[x]*Derivative[1][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to -\sqrt {4+e^{-x^2+2 c_1}}\right \},\left \{y(x)\to \sqrt {4+e^{-x^2+2 c_1}}\right \}\right \}\]

✓ Maple : cpu = 0.021 (sec), leaf count = 33

dsolve(y(x)*diff(y(x),x)+x*y(x)^2-4*x = 0,y(x))

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