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Topic: How to guess a multivariable function's PDE
Replies: 1   Last Post: Jan 30, 2012 8:20 AM

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George Ivey

Posts: 9
From: here
Registered: 1/30/12
Re: How to guess a multivariable function's PDE
Posted: Jan 30, 2012 8:20 AM
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It's trivial to find a differential equation that a given function satisfies. For example, if f(x,y,z)= 2x^2- 2xyz- y^3+ e^z, then f satisfies f_x= 4x- 2yz.

Of course, given any function, there exit an infinite number of partial differential equations it satisfies, and any of those equations has an infinite number of other solutions.

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