2.1536   ODE No. 1536

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

\[ \lambda y(x)+y^{(4)}(x)=0 \] Mathematica : cpu = 0.0046415 (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 = 0.02 (sec), leaf count = 50

\[\left \{y \left (x \right ) = c_{1} {\mathrm e}^{-i \left (-\lambda \right )^{\frac {1}{4}} x}+c_{2} {\mathrm e}^{i \left (-\lambda \right )^{\frac {1}{4}} x}+c_{3} {\mathrm e}^{-\left (-\lambda \right )^{\frac {1}{4}} x}+c_{4} {\mathrm e}^{\left (-\lambda \right )^{\frac {1}{4}} x}\right \}\]