Anyone good with series?
It's basically finding the first few non-zero terms of an equation with y", y', and y using y = the series (Cn*x^n), etc.
Here's the actual question:
Find the first four non-zero terms of two linearly independent power series solutions for
(x+3)y"+4y'-xy=0
I've worked it out a long ways but I'm getting really funny answers. Just want to see what someone else gets. Use the derivatives of the series below to solve.
Additional Details:
It's a power series...and we're looking for the first four terms of the power series solutions (there will be two solutions). You have to plug in the y" and y', etc. (from the first guy that answered the previous question) into the equation, expand it all out and get it to have the same indexes, etc. Then you have to plug in "n = 0, 1,..." to get the coefficients (C1, C2, etc.) and those will be the answers. I just want to see if someone else gets the same thing I did....Thanks!
2007-07-03
06:57:20
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3 answers
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asked by
smb8586
1