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hparty
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 initial value problem   « on: Sep 24th, 2010, 12:07pm » Quote Modify

I have the following initial value problem

y''+ky-y^2=0
y(x0)=a,
y'(x0)=b.

(for any constant k)

If it has a solution which depends on all the
parameters say Y , How can we find the
initial value problem satisfied by the partial derivatives of Y   (assume that all are exist) with respect to each of the
parameters k,x,x0,a,b ?

solution:
I know that I can transfer the above DE to a system of first order DE, but does that help??

Thanks
 « Last Edit: Sep 24th, 2010, 12:08pm by hparty » IP Logged
Aryabhatta
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 Re: initial value problem   « Reply #1 on: Sep 24th, 2010, 12:52pm » Quote Modify

Are these homework problems?
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hparty
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Posts: 15
 Re: initial value problem   « Reply #2 on: Sep 24th, 2010, 1:07pm » Quote Modify

old exams ...

does this change anything !!
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