You are not logged in.
Frobenius is solving a DE by using series methods. It is not an exact solution unless you can recognize the series by sight.
I only have 1 example in my notes.
You did not specify that we could use other methods besides the Laplace transform.
You might want to look at this page:
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
We take Frobenius and Laplace to solve D.E .I have 5 examples that covered the subject but I have some problems with series like
how to Convert series into a general equati
1+x+x^2+x^3= [[1/(1-x)]] something like that
and what is familiar function ??
Thanks for your time
Offline
Familiar function? What is that?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
It's series like
sin(x)
cos(x)
exp(x)
exp(-x)
Offline
First of all you would usually have a chart of the common series. You should recognize all of those series when you see them.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
Where can I find chart ?
Offline
http://atsol.fis.ucv.cl/dariop/sites/at … ngl._2.pdf
http://hardycalculus.com/calcindex/IE_p … tables.htm
http://www.haverford.edu/physics/MathAp … Series.pdf
http://www.mcs.sdsmt.edu/tkowalsk/notes … series.pdf
Also, you can use Wolfram alpha.
The ones you mentioned up there should be memorized.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline