Question: (a) Prove that the solution to the linear integral equation solves the linear initial value problem du/dt = k(t) u(t),u(0) = a. (b) Use part

(a) Prove that the solution to the linear integral equation
(a) Prove that the solution to the linear integral equationsolves

solves the linear initial value problem
du/dt = k(t) u(t),u(0) = a.
(b) Use part (a) to solve the following integral equations

(a) Prove that the solution to the linear integral equationsolves

11(1)=a+ | k(s) u(s) ds s)dS, (ii) 11(1) 1+2 su(s)ds, () u(r)=3+ es 11(s)ds.

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