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Solve Differential Equation Using Variation of Parameters

  • Thread starter TrueStar
  • Start date
  • #1
95
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Homework Statement



Solve y''+25y=10sec(5t)

Homework Equations



NA

The Attempt at a Solution



I believe I have the correct answer for yp which is:

2/5log(cos(5t))cos(5t)+2tsin(5t)

When I plug this into the Webwork field, it says it is incorrect. I checked my answer against Wolfram Alpha and they look the same.

I was hoping someone could look at it and identify if it was actually correct or not. If not, I can go through the steps here and try to work it out.

Thanks
 
Last edited:

Answers and Replies

  • #2
95
0
I figured it out. The value within the log should be an absolute value as it came from the integral of the tangent.
 

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