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dy dt + 2y = t 2 + 2t + 1 + e4t

Chapter , Problem 21

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QUESTION:

dy dt + 2y = t 2 + 2t + 1 + e4t

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QUESTION:

dy dt + 2y = t 2 + 2t + 1 + e4t

ANSWER:

Step 1 of 3

The associated homogeneous equation is  and its general solution is . Now, for the non homegeneous equation we need to guess a function  and substitute it into . We can use the guess , so

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