Sun K.

asked • 07/02/13

Find the value of yo?

Find the value of yo for which the solution of the initial value problem y'-y=1+3sin(t), y(0)=yo remains finite as t approaches to positive infinity.

2 Answers By Expert Tutors

By:

Robert J. answered • 07/03/13

Tutor
4.6 (13)

Certified High School AP Calculus and Physics Teacher

Grigori S. answered • 07/02/13

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0 (0)

Certified Physics and Math Teacher G.S.

Robert J.

y1 = (3/2)(sint - cost) - 1 <==You had a typo here.

y(0) = -5/2, the same answer as I got.

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07/03/13

Grigori S.

Thanks, Robert. You are right. Surprisingly how could I mess up with the sign in this simple situation. My final answer is about the amplitude of the function, but not the initial value as it required in the problem. I was going to make my comments about it.

I like the general method you are uisng to solve these equations. It works  especially well when you are dealing with complex functions on the right side of equations, when a particular solution is difficult to find.  Thanks again.

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07/03/13

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