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 = 0.109583 (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 = 0.141 (sec), leaf count = 59

\[ \left \{ y \left ( x \right ) ={\frac {1}{{\it \_C1}\,x} \left ( {\it \_C1}\,{x}^{2}-\sqrt {2\,{x}^{4}{{\it \_C1}}^{2}+1} \right ) },y \left ( x \right ) ={\frac {1}{{\it \_C1}\,x} \left ( {\it \_C1}\,{x}^{2}+\sqrt {2\,{x}^{4}{{\it \_C1}}^{2}+1} \right ) } \right \} \]