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dy dt + y = t 3 + sin 3t

Chapter , Problem 22

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QUESTION:

dy dt + y = t 3 + sin 3t

Questions & Answers

QUESTION:

dy dt + y = t 3 + sin 3t

ANSWER:

Step 1 of 3

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

in order for  to be a solution we must find  and  so that

for all .

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