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mathlife Group Title

find the Differential Equation of the given Family. Y= Ce^(2x) + e^(-2x)

  • one year ago
  • one year ago

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  1. abb0t Group Title
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    Take the first and second derivative of the given solution.

    • one year ago
  2. abb0t Group Title
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    Then do a little substitution of y...

    • one year ago
  3. vf321 Group Title
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    @mathlife You should really follow abb0t's advice. Do not expect us to give a solution for you.

    • one year ago
  4. vf321 Group Title
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    If it worked out, close the question. If you are still having trouble, let us know.

    • one year ago
  5. TuringTest Group Title
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    there is a neat way to do it with matrices :)

    • one year ago
  6. abb0t Group Title
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    I don't think they should expect ANY answers for any math course above Calculus 1.

    • one year ago
  7. abb0t Group Title
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    @TuringTest HAHAHA i prefer to stay away from that route. Nope. No way.

    • one year ago
  8. TuringTest Group Title
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    aw, but it's really pretty cool and fast, plus it works for any set of exponents e^ax, e^bx

    • one year ago
  9. vf321 Group Title
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    @TuringTest No need to make things more complicated... you may have to end up explaining matrix operations to OP.

    • one year ago
  10. abb0t Group Title
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    Can't you use Wronskian too?

    • one year ago
  11. TuringTest Group Title
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    Don't worry, I wasn't going to post, you abb0t has described enough no, much easier than the wronskian

    • one year ago
  12. TuringTest Group Title
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    no, because you don't get a square matrix

    • one year ago
  13. vf321 Group Title
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    BTW guys I think @mathlife is leaving out some info - I can think of a first-order DE that satisfies this as well as the double-root second-order linear DE we're all thinking of...

    • one year ago
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