- #1
cue928
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I am working on the following problem but I am apparently not applying the integrating factor correctly:
The DE is:
dy/dt = e^(-t/20) - (1/40)y
I moved the last term to the left, giving dy/dt + (1/40)y = e^(-t/20). I had e^(t/40) as my integrating factor. Going in my (wrong) direction, I was going to
end up with y = 1+ce^(-t/40). The book gets Y(t) = -40e^(-t/20) + Ce^(-t/40).
Where I am confused is the -40e^(/t-20). I thought when multiplying thru by the IF that I would get a "1" on that side.
What am I missing?
Thank you!
The DE is:
dy/dt = e^(-t/20) - (1/40)y
I moved the last term to the left, giving dy/dt + (1/40)y = e^(-t/20). I had e^(t/40) as my integrating factor. Going in my (wrong) direction, I was going to
end up with y = 1+ce^(-t/40). The book gets Y(t) = -40e^(-t/20) + Ce^(-t/40).
Where I am confused is the -40e^(/t-20). I thought when multiplying thru by the IF that I would get a "1" on that side.
What am I missing?
Thank you!