2.433   ODE No. 433

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

\[ -4 a-4 x^2+\left (x y'(x)+y(x)+2 x\right )^2-4 x y(x)=0 \] Mathematica : cpu = 1.13976 (sec), leaf count = 22

\[\left \{\left \{y(x)\to \frac {-a-2 c_1 x+c_1{}^2}{x}\right \}\right \}\] Maple : cpu = 0.405 (sec), leaf count = 34

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