4.135   ODE No. 1135

\[ \boxed { 4\,x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +2\,{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.009501 (sec), leaf count = 27 \[ \left \{\left \{y(x)\to c_1 \cosh \left (\sqrt {x}\right )+i c_2 \sinh \left (\sqrt {x}\right )\right \}\right \} \]

Maple: cpu = 0.0 (sec), leaf count = 17 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sinh \left ( \sqrt {x} \right ) +{\it \_C2}\,\cosh \left ( \sqrt {x} \right ) \right \} \]