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  3. y"-2y'+y=cos2t 1. general solution of correspondin

y"-2y'+y=cos2t 1. general solution of corresponding homongenous equation 2. particular solution 3.solution of initial value problem with initial...

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y"-2y'+y=cos2t

1. general solution of corresponding homongenous equation

2. particular solution

3.solution of initial value problem with initial conditionsy(0)=y'(0)=0

Answer & Explanation Solved by verified expert
4.1 Ratings (665 Votes)
Undetermined coefficeients method We can solve the given initial value problem by using method of variation of parameters method So the most general solution is Y YC YP YC Homogeneous solutin YP Particular solution Now the given initil value problem is y2yy cos2t So let us take the homogeneous equation for solving So y2yy 0 1 Now let us find the characteristic equation for    See Answer
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