2.1449   ODE No. 1449

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

\[ y^{(3)}(x)-\lambda y(x)=0 \] Mathematica : cpu = 0.022979 (sec), leaf count = 53

\[\left \{\left \{y(x)\to c_1 e^{(-1)^{2/3} \sqrt [3]{\lambda } x}+c_2 e^{-\sqrt [3]{-1} \sqrt [3]{\lambda } x}+c_3 e^{\sqrt [3]{\lambda } x}\right \}\right \}\]

Maple : cpu = 0.037 (sec), leaf count = 53

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{ \left ( -{\frac {1}{2}\sqrt [3]{\lambda }}-{\frac {i}{2}}\sqrt {3}\sqrt [3]{\lambda } \right ) x}}+{\it \_C2}\,{{\rm e}^{ \left ( -{\frac {1}{2}\sqrt [3]{\lambda }}+{\frac {i}{2}}\sqrt {3}\sqrt [3]{\lambda } \right ) x}}+{\it \_C3}\,{{\rm e}^{\sqrt [3]{\lambda }x}} \right \} \]