1. Let u = f+cK* u with c real and K(x) = H(x)be-ba, b>0. (a) Find the general solution. (b) For b→∞o, the sequence K(x, b) defines a Dirac delta. Show that if c < 1, but not f the solution of the equation approaches 1-c otherwise. (c) Show that if c> 1, the solution diverges exponentially as b→ ∞o.

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