5.16   ODE No. 1464

\[ \boxed { {\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) -2\,{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -3\,{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +10\,y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.005501 (sec), leaf count = 34 \[ \left \{\left \{y(x)\to c_3 e^{-2 x}+c_1 e^{2 x} \sin (x)+c_2 e^{2 x} \cos (x)\right \}\right \} \]

Maple: cpu = 0.0 (sec), leaf count = 27 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-2\,x}}+{\it \_C2} \,{{\rm e}^{2\,x}}\sin \left ( x \right ) +{\it \_C3}\,{{\rm e}^{2\,x}} \cos \left ( x \right ) \right \} \]