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e f(t) is a continuous function on [Hint: Use the
Chapter 4, Problem 20E(choose chapter or problem)
PROBLEM 20EUse the method of variation of parameters to show that is a general solution to the differential equation Where f(t) is a continuous function on [Hint: Use the trigonometric identity sin (t-s) = sin t cos s - sin s cost t.]
Questions & Answers
QUESTION:
PROBLEM 20EUse the method of variation of parameters to show that is a general solution to the differential equation Where f(t) is a continuous function on [Hint: Use the trigonometric identity sin (t-s) = sin t cos s - sin s cost t.]
ANSWER:Solution:Step-1:In this problem we need to show that is a general solution to the differential equation .Step-2:Given differential equation is , where f(t) is a continuous function on .The auxiliary equation associated with the given equation is: , since .Therefore, is the general solution of the homogeneous equation .Wher