2.239   ODE No. 239

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ \left (x y(x)-x^2\right ) y'(x)-2 x^2-3 x y(x)+y(x)^2=0 \] Mathematica : cpu = 0.165871 (sec), leaf count = 54

\[\left \{\left \{y(x)\to x-\frac {\sqrt {2 x^4+e^{2 c_1}}}{x}\right \},\left \{y(x)\to x+\frac {\sqrt {2 x^4+e^{2 c_1}}}{x}\right \}\right \}\] Maple : cpu = 0.171 (sec), leaf count = 59

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