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 = 0.0661677 (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 = 1.243 (sec), leaf count = 23

\[\left \{y \left (x \right ) = \frac {\sqrt {c_{1} a}\, \tan \left (\sqrt {c_{1} a}\, \left (c_{2}+x \right )\right )}{a}\right \}\]