2.97   ODE No. 97

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

\[ a y(x)^2+b x^2+x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0258995 (sec), leaf count = 46

\[\left \{\left \{y(x)\to -\frac {\sqrt {b} x \tan \left (\sqrt {a} \sqrt {b} x-\sqrt {a} \sqrt {b} c_1\right )}{\sqrt {a}}\right \}\right \}\]

Maple : cpu = 0.033 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) =-{\frac {x}{a}\tan \left ( {\it \_C1}\,\sqrt {ab}+x\sqrt {ab} \right ) \sqrt {ab}} \right \} \]