Math Is Fun Forum

vedaprabhu

Member

Registered: 2006-09-06

Posts: 2

Linear differential equations

Hello!

while solving a linear differential equation of general form we often use the
differential operator"D" as an algebraic quantity.

Say in expansion of f(d)=[1/(D-1)]q(x) we write f(d) = (D-1)^-1 and expand using binomial expansion.But binomial expansion is valid only for |D|<1 right?!...

I wonder how to interprete an "operator D" to be less than 1 or not...can somebody

Dross

Member

Registered: 2006-08-24

Posts: 325

Re: Linear differential equations

Let me make sure I understand you correctly - when you say the "differential operator", do you mean, for example, like the "d"s in

?

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Bad speling makes me [sic]

numen

Member

Registered: 2006-05-03

Posts: 115

Re: Linear differential equations

I think this is what you mean by D:

So that, if

We get:

Example (a and b are constants):

Binomials:

With 0, I think you know, but less than 0? Check link above.

Last edited by numen (2006-09-09 03:40:08)

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