- #1
madcattle
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Homework Statement
Hey all, this is my first time posting here. I've used your help before, but have not actually ever had to post a question. Thanks for any help you can give, I am excited to finally join the community.
I am doing calculus homework and I am having trouble solving this problem using the Cauchy-Euler method that we're supposed to solve it with.
Solve: xy4 + 6ym = 0
It is the part about the 6ym that I am not sure what to do with.
Homework Equations
andny / dxn ...a0y = 0
The Attempt at a Solution
My book toldme to try and substitute y=xm into the derivative parts, and all of the other problems I've done work with that method. This is what I've done so far.
y=xm
y1=mxm-1
y2=m(m-1)xm-2
y3=m(m-1)(m-2)xm-3
y4=m(m-1)(m-2)(m-3)xm-4
I know how to treat the 4th derivative term; again, I just don't know what or how to think about the y^m term. I know the solution to the problem, as it is in the back of my book, I just don't know how to get there. Can anyone give me a prod in the right direction?
Thanks