In: Math
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