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ehhh
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Homework Statement
Suppose the Wronskian of W(y1, y2) [0] = 1
y1, y2 are solutions to the differential: y'' + e^xy'+ tanx = 0
Find W(y1, y2)[1] ?
The Attempt at a Solution
So I'm thinking of using Abel's theorem, where p(x) = e^x
W(y1, y2)(0) = [tex] = c e^{\int{- e^t dt}}[/tex]
So, 1 = [tex]ce^{e^{-t}}[/tex]
But I'm not too sure what to do now..
I then tried to find out what y1, y2 were so I could just calculate W directly at x = 1.
Since it's not homogeneous (the tanx term) I was thinking of using variations of parameters. But I the e^x term doesn't allow me to find the characteristic equation to find that..
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