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 = 0.0983494 (sec), leaf count = 55

\[\left \{\left \{y(x)\to \frac {\sqrt {b} x \tan \left (\sqrt {a} \sqrt {b} \int _1^x K[1] F(K[1]) \, dK[1]+\sqrt {a} \sqrt {b} c_1\right )}{\sqrt {a}}\right \}\right \}\] Maple : cpu = 0.065 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={\frac {x}{a}\tan \left ( \sqrt {ab} \left ( {\it \_C1}+\int \!F \left ( x \right ) x\,{\rm d}x \right ) \right ) \sqrt {ab}} \right \} \]