Chemical Engineering Answers

6) Solve the initial value problem y''-4y=cos 3t ,y(0)=0,y'(0)=1

Explain the problem with step by step process?

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

Explain the problem with step by step process?

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

Explain the problem with step by step process?

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

Explain the problem with step by step process?

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

Explain the problem with step by step process?

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

Explain the problem with step by step process?

6) Evaluate ∮c ze^{z)/(z-1)²(z²+4) dZ,Where C is |z-1|=1 by using Cauchy integral formula for derivatives.

Explain the problem with step by step process?

5) Evaluate ∮c z³ Cos 1/z Where C is |z|=2.

Explain the problem with step by step process?

4)Find the Laurent series expansion of the function 2z/ z²+2z-3 in the region 2<|z+1| <4.

Explain the problem with step by step process?

3)Evaluate∫C z(ReZ)dz,Where C:z(t)=t, 0≤t≤1. ; 1+i(t-1), 1≤t≤2.

Explain the problem with step by step process?