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find the solution of the given initial value problem 1. y''+y'−2y=0, y(0) =1, y'(0) =1 2....

find the solution of the given initial value problem

1. y''+y'−2y=0, y(0) =1, y'(0) =1

2. 6y''−5y'+y=0, y(0) =4, y'(0) =0

3. y''+5y'+3y=0, y(0) =1, y'(0) =0

4. y''+8y'−9y=0, y(1) =1, y'(1) =0

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