2.1536   ODE No. 1536

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

\[ \lambda y(x)+y^{(4)}(x)=0 \] Mathematica : cpu = 0.0036327 (sec), leaf count = 76

\[\left \{\left \{y(x)\to c_1 e^{(-1)^{3/4} \sqrt [4]{\lambda } x}+c_2 e^{-\sqrt [4]{-1} \sqrt [4]{\lambda } x}+c_3 e^{-(-1)^{3/4} \sqrt [4]{\lambda } x}+c_4 e^{\sqrt [4]{-1} \sqrt [4]{\lambda } x}\right \}\right \}\] Maple : cpu = 0.012 (sec), leaf count = 50

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-i\sqrt [4]{-\lambda }x}}+{\it \_C2}\,{{\rm e}^{i\sqrt [4]{-\lambda }x}}+{\it \_C3}\,{{\rm e}^{-\sqrt [4]{-\lambda }x}}+{\it \_C4}\,{{\rm e}^{\sqrt [4]{-\lambda }x}} \right \} \]