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 = 1.20771 (sec), leaf count = 22

\[\left \{\left \{y(x)\to \frac {-a-2 c_1 x+c_1{}^2}{x}\right \}\right \}\] Maple : cpu = 0.216 (sec), leaf count = 34

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