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   Author  Topic: initial value problem  (Read 983 times)
hparty
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initial value problem  
« on: Sep 24th, 2010, 12:07pm »
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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 »
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Are these homework problems?
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hparty
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Re: initial value problem  
« Reply #2 on: Sep 24th, 2010, 1:07pm »
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old exams ...
 
does this change anything !!
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