Hello,

Given is

Before I start I multiply by

Then I get

First I will find the solution of the homogeneous DV

I can solove this easely and I get

I deveritate this and I get and now I need to put in but then I miss ???

Who can help me? Greets.

Printable View

- April 30th 2006, 12:48 PMBertDV equation.
Hello,

Given is

Before I start I multiply by

Then I get

First I will find the solution of the homogeneous DV

I can solove this easely and I get

I deveritate this and I get and now I need to put in but then I miss ???

Who can help me? Greets. - April 30th 2006, 12:59 PMCaptainBlackQuote:

Originally Posted by**Bert**

RonL - April 30th 2006, 01:05 PMBert
do I need to integrate and not ???

Greets. - April 30th 2006, 03:02 PMThePerfectHacker
It seems that,

are all solutions to this differential equation. - May 1st 2006, 03:34 PMThePerfectHacker
That one I solved by using a theorem about linear differencial equations. I have another way.

"The general solution to a non-homogenous differencial equation is the sum of the general solution to the homogenous equation and a specific solution to the non-homogenous equation"

With that theorem,

We will solve,

Begin by solving,

Dis is seperable which gives,

Integrating,

Thus,

Now find a particular solution to,

It is reasonable to search for solutions of the form,

Substitute,

Thus,

We immediately see that

Thus, you are left with,

We also see that

From here we see that

Thus, is a specific solution.

Thus, all solutions are,