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Couple of them

1)Evaluate

$\large{\displaystyle \int_{C} \frac{z \sec z}{(1-z)^2} \, dz, C:|z|=3}$

In this problem why is the residue taken for only point $$z=1$$ and not $$z=(2n+1)\frac{\pi}{2}$$ where $$n=-1,0$$, my answer is not matching with the given perhaps i have two extra terms in my answer.

2) Is it possible to find the solution of this differential equation using Laplace transformation method?

$$(D^2-3D+2)y=0$$

Note by Tanishq Varshney
8 months ago

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I solved the second question but I need to know whether the initial conditions are given to find out the value of the variable constants or do we just need to give the general solution?

EDIT- the answer came out to be- Y= (B-A)e^(t) + (2A-B)e^(2t) Where A= Y(0) and B=Y'(0) · 8 months ago

Plz show ur method using Laplace transform method. I am stuck, what will be the Laplace transform of 0. · 8 months ago