Question

A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows: (r^2 + 2r + 10)^3 * r * (r - 2)^2 = 0.

Answer 1

A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows: (r^2 + 2r + 10)^3 * r * (r - 2)^2 = 0.

Step-by-step explanation:

In this question, we are dealing with a 9th order, linear, homogeneous, constant coefficient differential equation. The characteristic equation of this differential equation can be factored as: (r^2 + 2r + 10)^3 * r * (r - 2)^2 = 0. This indicates that the differential equation has multiple solutions, each corresponding to a root of the characteristic equation.