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Is this differential equation separable?

  1. Sep 9, 2009 #1
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Sep 9, 2009 #2

    Dick

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    Yes, it is separable. Use the laws of logarithms. ln(s^(5t))=(5t)*ln(s). Now separate it.
     
  4. Sep 9, 2009 #3
    how do you go on separating it after that? my guess would be:

    the 8t^4 confuses me
     
  5. Sep 9, 2009 #4

    Dick

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    What do you get after you apply the log law? Factor out the t^4. The question is just asking whether it's separable.
     
  6. Sep 9, 2009 #5
    t^3*(5t)*ln(s) + 8t^4
     
  7. Sep 10, 2009 #6

    Dick

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    Well? Keep going. t^3*5*t=5t^4...
     
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