Pregunta: Resolver esta ecuación diferencial:(d^4y/dx^4)+6(d^3y/dx^3)+13(d^2y/dx^2)+4(dy/dx)-24y=0

Given differential equation:

$\frac{{\mathrm{d}}^4\mathrm{y}}{{\mathrm{d}\mathrm{x}}^4}+6\frac{{\mathrm{d}}^3\mathrm{y}}{{\mathrm{d}\mathrm{x}}^3}+13\frac{{\mathrm{d}}^2\mathrm{y}}{{\mathrm{d}\mathrm{x}}^2}+4\frac{\mathrm{d}\mathrm{y}}{\mathrm{d}\mathrm{x}}-24\mathrm{y}=0$

This is a homogeneous high-order differential equation.