anonymous
  • anonymous
find the Differential Equation of the given Family. Y= Ce^(2x) + e^(-2x)
Mathematics
schrodinger
  • schrodinger
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abb0t
  • abb0t
Take the first and second derivative of the given solution.
abb0t
  • abb0t
Then do a little substitution of y...
anonymous
  • anonymous
@mathlife You should really follow abb0t's advice. Do not expect us to give a solution for you.

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anonymous
  • anonymous
If it worked out, close the question. If you are still having trouble, let us know.
TuringTest
  • TuringTest
there is a neat way to do it with matrices :)
abb0t
  • abb0t
I don't think they should expect ANY answers for any math course above Calculus 1.
abb0t
  • abb0t
@TuringTest HAHAHA i prefer to stay away from that route. Nope. No way.
TuringTest
  • TuringTest
aw, but it's really pretty cool and fast, plus it works for any set of exponents e^ax, e^bx
anonymous
  • anonymous
@TuringTest No need to make things more complicated... you may have to end up explaining matrix operations to OP.
abb0t
  • abb0t
Can't you use Wronskian too?
TuringTest
  • TuringTest
Don't worry, I wasn't going to post, you abb0t has described enough no, much easier than the wronskian
TuringTest
  • TuringTest
no, because you don't get a square matrix
anonymous
  • anonymous
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...

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