Assume that g(t) is continuous on [a,b], K(t,s) is continuous on the rectangle a≤t, s≤b and there exists a constant M such that (a≤s≤b). Then the integral equation has a unique solution when .
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An integral equation is shown to have a unique solution. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.