ODE No. 239

\[ \left (x y(x)-x^2\right ) y'(x)-2 x^2-3 x y(x)+y(x)^2=0 \]

✓ Mathematica : cpu = 0.097419 (sec), leaf count = 54

DSolve[-2*x^2 - 3*x*y[x] + y[x]^2 + (-x^2 + x*y[x])*Derivative[1][y][x] == 0,y[x],x]

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

✓ Maple : cpu = 0.221 (sec), leaf count = 59

dsolve((x*y(x)-x^2)*diff(y(x),x)+y(x)^2-3*x*y(x)-2*x^2 = 0,y(x))

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