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 = 0.048362 (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 = 0.45 (sec), leaf count = 23

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