IMHO
The next step after this:
is to say: if equation invloved has a solution, its solution can be represented in the following way:
,
where
Knowing you will find general solution by substituting it into the first equation in this message.
I need to find a general solution,
∈
for the Fredholm intergral equation:
where is the intergral operator defined by
Where and are postive constants and and ∈ ℝ constants.
I think, that I have to rewrite it:
And then assuming that λ is a fixed unknown scalar, and so can be incorporated into the equation as follows:
I'm not sure if this is right, and I don't really understand what to do next, can someone help please?
I need to find a general solution,
∈
for the Fredholm intergral equation:
where is the intergral operator defined by
Where and are postive constants and and ∈ ℝ constants.
Note that the algebra can be reduced using the Gamma function and standard Laplace Transforms.
I have started a solution to this, which is attached, can anyone tell me if this is all I have to do to get the general solution or is there more, and if so can anyone advise what I do next please?
I have the following as the general solution and someone please help me, and advise me if this is correct please?
I would be really greatful if someone could help so that I could continue on the next part of the question please...