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Topic: initial value problem (Read 990 times) 

hparty
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initial value problem
« on: Sep 24^{th}, 2010, 12:07pm » 
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I have the following initial value problem y''+kyy^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 24^{th}, 2010, 12:08pm by hparty » 
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Aryabhatta
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Re: initial value problem
« Reply #1 on: Sep 24^{th}, 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 24^{th}, 2010, 1:07pm » 
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old exams ... does this change anything !!


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