Identifying Linearity in Differential Equations: ODE vs. PDE

jason.bourne · Dec 7, 2008

how do i know a given nth order differential equation is linear or not?
both for ODE as well as PDE.

jason.bourne · Dec 7, 2008

okay i figured it out.
there should not be product of function and its derivatives
neither the function nor its derivatives occur at any power other than the first power.

m i right?
or are there any other conditions other than these?

MathematicalPhysicist · Dec 22, 2008

You are right.

HallsofIvy · Dec 22, 2008

I was going to suggest that you look at the definition of "linear differential equation"! I am pleased that you have already done that!

Identifying Linearity in Differential Equations: ODE vs. PDE

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Identifying Linearity in Differential Equations: ODE vs. PDE

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