What type of integral equation is this and how can I solve it?

muttley78
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I would ask help to solve the following integral equation. Any suggestion? Any references to look at?

f(x)=int_{0}^{x} (A*exp{t-x}+B)f(t)g(t/x)*(1/x)dt

A, B known constant

Thanks a lot.
 
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Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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