- #1
mitch_1211
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Homework Statement
i need to find the first and second of derivative of this
θ(t) = A exp−λt cos(ωt) with (-lambda*t) being the power of exp
in order to substitute into here
I(theta) = −μθ(1st deriv of theta) + γθ(2nd deriv of theta)
and then prove that
λ = −γ/2I
Homework Equations
θ(t) = A exp−λt cos(ωt)
The Attempt at a Solution
have tried deriving with wolfram alpha myself and have gotten very stuck:
1st deriv : http://www3.wolframalpha.com/Calculate/MSP/MSP625719eec443gegicdc800005bha4ii759c7g9d9?MSPStoreType=image/gif&s=42&w=342&h=36
2nd deriv: http://www4d.wolframalpha.com/Calculate/MSP/MSP809419eebe57538ah30200004hbcc464i71a2h1h?MSPStoreType=image/gif&s=11&w=270&h=61
with l representing lambda.
any help would be much appreciated!
Regards,
Mitch
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