2.989   ODE No. 989

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

\[ y'(x)=\frac {y(x)}{x}-F(x) \left (-a y(x)^2-b x^2\right ) \] Mathematica : cpu = 0.263336 (sec), leaf count = 56

\[\left \{\left \{y(x)\to \frac {\sqrt {b} x \tan \left (\sqrt {a} \sqrt {b} \int _1^xF(K[1]) K[1]dK[1]+\sqrt {a} \sqrt {b} c_1\right )}{\sqrt {a}}\right \}\right \}\] Maple : cpu = 0.049 (sec), leaf count = 29

\[\left \{y \left (x \right ) = \frac {\sqrt {a b}\, x \tan \left (\sqrt {a b}\, \left (c_{1}+\int x F \left (x \right )d x \right )\right )}{a}\right \}\]