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Initial-Value Problems, Wronskian and Particular Solutions (5 Problems)

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1. Solve the IVP y'' - 2y' + 2y=0; y(0) = 0; y'(0) = 5.

2. y'''+9y'=0; y(0)=3;y'(0)=-1;y''(0) =2

Please see the attached file for the fully formatted problems.
Please give me detailed, step by step hints to solving the problems.

Thanks very much!

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Initial-Value Problems, Wronskian and Particular Solutions are solved. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.