Engineering Answers

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?

2) Show that v(x,y)=x²-y²-y is harmonic function.Find it's conjugate harmonic function u(x,y) and corresponding analytic function f(z).

Explain the problem with step by Step process?

1) Is the function f(z)={[Rez-lmz]²/|z|² ,z≠0 ;0 ,z=0 Continuous at z=0?

Explain the problem with step by step process?

Solve y"+3y'+2y=1, y(0)=0,y'(0)=1.

Explain the problem with step by step process?

Find the complete integral of the PDE px+qy+z=xq²

Explain the problem with step by step process?

Find the complete integral of the PDE px+qy+z=xq²

Find the Laplace transform of the periodic function f(t)=t ,0≤t<1 ; 2-t,1≤t≤2 and f(t+2)=f(t)?

Explain the problem with step by step process?

15)Find the constants a and b such that the function f (z)=ax-3y+i(bx-2y) is analytic?

Explain the problem with step by step process?

14)Show that u(x, y) = 2y + 3x²y-y³ is harmonic and find its conjugate harmonic function v(x, y) and the corresponding analytic function f(z).

Explain the problem with step by step process?