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?

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

#Calculus

Easy Math Editor

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Comments

@Mark Hennings sir @Brian Charlesworth sir .

Tanishq Varshney - 5 years ago

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)

Righved K - 5 years ago

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

Tanishq Varshney - 5 years ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$