2.1449   ODE No. 1449

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

\[ y^{(3)}(x)-\lambda y(x)=0 \] Mathematica : cpu = 0.0075361 (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 = 0.032 (sec), leaf count = 47

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