Hi,

How does one derive the general solution to this ODE ($\displaystyle A$ is a constant)?

$\displaystyle \partial P / \partial x = AP \partial P/ \partial \theta$

Thanks.

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- Jun 27th 2013, 05:31 AMalgorithmDeriving the general solution to this ODE
Hi,

How does one derive the general solution to this ODE ($\displaystyle A$ is a constant)?

$\displaystyle \partial P / \partial x = AP \partial P/ \partial \theta$

Thanks. - Jun 27th 2013, 10:04 AMHallsofIvyRe: Deriving the general solution to this ODE
Well, one problem you have is that this is NOT an "ODE"! Since P is a function of two variables, and your equation involves derivatives with respect to both, that is a partial differential equation

But I am puzzled as to where you got this problem. Are you not taking a class in partial differential equations? If you are, then you should have encountered the "method of characteristics".