#445 Consider the nonhomogeneous equation

Consider the nonhomogeneous equation - Math

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Q1. a) Consider the nonhomogeneous equation x"(t) + ax'(t) + bx(t) = f(t). If f(t) is a constant, say c, then find a solution of this equation under the conditions (i) if b = 0 (ii) if b = 0 and a = 0 (iii) if a = b = 0.
b) Also find the solution to above equation given in part when f(t) = 2sin t + cost.

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