PROBLEM 2E

In Problems 1–8, the auxiliary equation for the given differential equation has complex roots. Find a general solution.

Solution:

Step 1:

In this problem, we have to find a general solution to the given differential equation.

General form of second order differential equation is

where,

When function then, second order differential equation is called the homogenous form of the equation.

Here, therefore this is a homogenous form of second order differential equation.