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?

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

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TopNewestI 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) – Righved K · 10 months ago

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– Tanishq Varshney · 10 months ago

Plz show ur method using Laplace transform method. I am stuck, what will be the Laplace transform of 0.Log in to reply

@Mark Hennings sir @Brian Charlesworth sir . – Tanishq Varshney · 10 months ago

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