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Find the solution of the following equations using Laplace transform: (a)y'-y=1, y(0)=0 (b) calculate the derivative...

Find the solution of the following equations using Laplace transform:

(a)y'-y=1, y(0)=0

(b) calculate the derivative of L{t^(n-1)f(t)} with respect to s. Is there any relation between the result and L{t^nf(t)}

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