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5)Solve the integral equation f(t)=t+3 ∫0^t f(τ)dτ?


4) Find the inverse Laplace transform of 5/(s-1)(s+4) without using partial fractions.


3) Find the inverse Laplace transform of ln(s+3/s²+9).


2) Find the Laplace transform of the periodic function f(t)=t ,0≤t≤2 and f(t+2)=f(t)?


1)Find the Laplace transform of sinh t/t?


21) Find the maximum value of the function f (z)=e^3z on the curve C:|z|=2.


20b)Use Cauchy integral formula for derivatives evaluate ∮c Sin 2πz/(z+1)² (z²+4)dz, where C is |z + 2| <2.


19)Evaluate∫C (x²+y²-ixy)dZ,Where C is z = {(t-2i, 1≤t≤2. ; 2-i(4-t), 2<t≤3.


18) Evaluate ∮(z)=1 Z² Sin1/z dZ?


16)Find Laurent series expansion of the function 2z/ z²-3z+2 in the regions

2<|z+1 <3 and |z-1|> 3.


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