For   find the solution of the  following ODE

,  with the boundary  conditions , :

Classify each of the following functions as  even, odd, or neither even or odd

(Answer by: odd, even, neither)       

At , the Fourier series representation of this function converges to

The constant function is ....

Let be defined as

Consider the partial sum

At the point , the partial sum....

Q5a

The Laplace transform of the left side, where X(s) is the Laplace Transform of x(t), is:

An oscillating spring is being forced at frequency , so that

with initial conditions and .

How close to does the excitation frequency have to be for the size of the part of the response in to be about 100 times the forcing amplitude?