Homework SourseFind the free response and the forced response for d2dt2 8d
Find the free response and the forced response for d^2/dt^2 + 8dy/dt + 15 y = u(t) For initial conditions y(0) = 0.5 dy/dt]t = 0 = 0.8 Show all steps , let u(t) = e^-3t. ![Find the free response and the forced response for d^2/dt^2 + 8dy/dt + 15 y = u(t) For initial conditions y(0) = 0.5 dy/dt]t = 0 = 0.8 Show all steps , let u(t](/WebImages/9/find-the-free-response-and-the-forced-response-for-d2dt2-8d-999028-1761514443-0.webp "Find the free response and the forced response for d^2/dt^2 + 8dy/dt + 15 y = u(t) For initial conditions y(0) = 0.5 dy/dt]t = 0 = 0.8 Show all steps , let u(t")
Solution
to do laplace transfer we find that
y(s)=(1/(s+3)^2*(s+5))+(s/(2*(s+3)*(s+5)))-4.8/((s+3)*(s+5))
to take inverse laplace of y(s)
we find the y(t)
