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.