suppose y'=p we get

gives

now differentiating wrt x and putting solve the equation in p and x

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- Sep 29th 2011, 07:56 PM #1

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## Brachistochrone ODE

Hey guys,

I'm a bit rusty on differential equations and today I was helping a friend solving ODE when we stumbled on this one:

The problem asked to solve for . Can you point me in the right direction? Thanks!

- Sep 29th 2011, 08:53 PM #2

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- Sep 29th 2011, 10:02 PM #3