Question: Given the following equation for forced damped harmonic motion: y + y + 4 y = c o s ( t ) a) How would

Given the following equation for forced damped harmonic motion:

y+y+4y=cos(t)

a) How would you find a fundamental set of solutions to the homogeneous equation?

b) How would you solve for a particular solution in terms of ?

c) How would you solve the initial value problem withy(0)=0 andy(0)=1 in terms of ?

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