
Re: How to guess a multivariable function's PDE
Posted:
Jan 30, 2012 8:20 AM


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.

