except you have:Originally Posted by Bert
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.
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,
Now find a particular solution to,
It is reasonable to search for solutions of the form,
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,