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In: Math

Follow the steps bellow to construct a general solution to the equation: y'' + y =...

Follow the steps bellow to construct a general solution to the equation:

y'' + y = 3sect -t2+1

a. find the general solution to the homogeneous version of the problem

b. find the particular solution to y'' + y = 3sect

c. find the particular solution to y'' + y = -t2+1

d. use part (a), (b), (c) to construc the general solution to the original given DE

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