2.23   ODE No. 23

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

\[ a y(x)^2-b+y'(x)=0 \] Mathematica : cpu = 0.0214786 (sec), leaf count = 43

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

Maple : cpu = 0.039 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={\frac {1}{a}\tanh \left ( {\it \_C1}\,\sqrt {ab}+x\sqrt {ab} \right ) \sqrt {ab}} \right \} \]