1. Find the general solution of these constant coefficient linear inhomoge- neous ODEs, using the method of undetermined coefficients. (Note: you will need to find both the general solution to the homogeneous problem, and also a particular solution to the inhomogeneous problem.) (a) y" + 3y' + 2y = 6x — 1. (b) y"+y=x²eª. (c) y"-y-y=sin(x). (d) y" + y = 2x sin(x).

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