I have to solve the integral equation by the

method of successive approximation. Using , I can find etc

but I cannot find any general expression for and hence cant find the solution . Please help

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- November 29th 2013, 07:48 AMSuvadipsolution of integral equation
I have to solve the integral equation by the

method of successive approximation. Using , I can find etc

but I cannot find any general expression for and hence cant find the solution . Please help - November 29th 2013, 03:42 PMromsekRe: solution of integral equation
it's there

take the polynomial out to x^{8}or so and look at the first 7 terms, ignore the 8th

you should see 1 + x + 3/2x^{2}+ 1/2x^{3}+ 1/8x^{4}+ ....

you should see this as 1 + x + Sum[2,Infinity, some pattern]

The sum will correspond to a well known power series minus a couple terms. You're also adding a couple terms at the front.

Collect all that together and you'll end up with an expression for the solution as a function of x.