Question

In this problem, we will solve the initial value in the homogeneous differential equation in steps. 3y'' + 8y' + 4y = 7sin(4x), y(0) = 0, y'(0) = 0 First determine y(p)

Answer 1

To solve the initial value problem 3y'' + 8y' + 4y = 7sin(4x), with initial conditions y(0) = 0 and y'(0) = 0, we need to find the particular solution y(p) by assuming it has the same form as the non-homogeneous term and solving for the coefficients.

Step-by-step explanation:

To solve the initial value problem 3y'' + 8y' + 4y = 7sin(4x), with initial conditions y(0) = 0 and y'(0) = 0, we will solve the homogeneous differential equation in steps. First, we need to find the particular solution y(p) by assuming it has the same form as the non-homogeneous term and solving for the coefficients.