anonymous
  • anonymous
Differential Equations: Determine values of r, if possible, so that the differential equation has a solution of the form y = e^(rx). See attached.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
write characteristic equation s^4- 8s^3-9=0 solve for s. all solution goes in \[y= C_1 e^{s_1t}+C_2e^{s_2t}+....\]
anonymous
  • anonymous
They are trying to have us solve it by substituting in the derivatives. The degree 4 is throwing me off. Thanks though.

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anonymous
  • anonymous
I don't think it is degree 4 , just 4th derivative
anonymous
  • anonymous
:-O lol. Duh! I forgot that is how they designate higher order derivatives. Thank you! :-) Now I can work it. Too bad they won't let me give you a 2nd medal.
anonymous
  • anonymous
that's fine, glad I could help

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