Respuesta :

LammettHash

The ODE

y''' - 7y'' + 8y' + 16y = 0

has characteristic equation

r ³ - 7r ² + 8r + 16 = 0

which can be factorized as

(r - 4)² (r + 1) = 0

Then the characteristic solution to the ODE is

y(x) = C₁ e ⁴ˣ + C₂ x e ⁴ˣ + C₃ e ⁻ˣ