Question: Solve using Laplace transform methods the following differential and integral equations: (i) f 0(x)+ f(x)=1[0,1](x), f(0)=0.(ii) f 0(x)2 Z x 0 f(t)etxdt = e2x ,

Solve using Laplace transform methods the following differential and integral equations: (i) f 0(x)+ f(x)=1[0,1](x), f(0)=0.(ii) f 0(x)2 Z x 0 f(t)etxdt = e2x , f(0)=0.

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