Q1. a) Consider the nonhomogeneous equation x"(t)+ ax'(t) + bx(t) =A(t). If fſt) 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 A(t) = 3t – 6t².
Q1. a) Consider the nonhomogeneous equation x"(t)+ ax'(t) + bx(t) =A(t). If fſt) 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 A(t) = 3t – 6t².
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q1. a) Consider the nonhomogeneous equation x"(t)+ ax'(t) + bx(t) =A(t).
If fſt) 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 A(t) = 3t – 6t².
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