I have a second order differential equation that is in x and y I want to rewrite it prolate spheroidal coordinates. it is a really long equation and I was hoping there is a way that I enter the equation as it is and the rules for prolate spheroidal coordinates and have Mathematica rewrite it in terms of those new parameters. is it possible?
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1Is this what you want? DChange – Kuba Apr 04 '17 at 11:13
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@Kuba well I guess so, but I don't really understand the code there and I want to change to prolate spheroidal coordinates meaning $$ \rho=\sqrt(x^2-1)(1-y^2) and z=\sigma xy $$ my code is really big is there somewhere writing about this specifically? – Danny Nelson Apr 04 '17 at 14:05
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Take a look at linked questions then. – Kuba Apr 04 '17 at 14:06
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@Kuba if I understand correctly mathematica dosent have this itself, I need to get something like an add on write? – Danny Nelson Apr 04 '17 at 14:11
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Can you provide the equations at least? – Pillsy Apr 04 '17 at 14:16
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@Pillsy than you for trying to help. the code that I've written in mathematica and the equation itself is here http://mathematica.stackexchange.com/questions/141775/how-to-solve-a-second-order-differential-equation-numerically-in-mathematica?noredirect=1#comment383220_141775 – Danny Nelson Apr 04 '17 at 14:20
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@DannyNelson please make this question self contained, include expression and transformations in form of mathematica code. – Kuba Apr 04 '17 at 18:51