2.1632   ODE No. 1632

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

\[ y''(x)-2 a y(x) y'(x)=0 \] Mathematica : cpu = 0.0620884 (sec), leaf count = 46

\[\left \{\left \{y(x)\to \frac {\sqrt {c_1} \tan \left (\sqrt {a} \sqrt {c_1} x+\sqrt {a} \sqrt {c_1} c_2\right )}{\sqrt {a}}\right \}\right \}\]

Maple : cpu = 0.094 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={\frac {1}{a}\tan \left ( {\it \_C2}\,\sqrt {a{\it \_C1}}+x\sqrt {a{\it \_C1}} \right ) \sqrt {a{\it \_C1}}} \right \} \]