bound the module of the contour integral (image) where C= { z E C : |z - 1| = 2}}

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Q: 3. Determine the general solution of the differential equation y/" + 2y" + 2y" + 2y' + y = e¬t + t.

A: Solution of differential equation is solved below

Q: ,2t 4 + et dt

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Q: Q1. Solve the initial value problems: (Ь) y + 2ry + xy' = 0; y(0) = 1 %3D

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Q: Fi 14)

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Q: H.W: Use the root test to determine the following series converge or diverge: 2. a-c*y 1. 5" n=1 n=1

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Q: Evaluate the definite integral. Son f (x) dæ, ƒ (x) =6e" /(4+e*)

A: It is known that: ddxekx=kekx∫ekxdx=1kekx+C

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Q: For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is…

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Q: Q9. Which of these is not the derivative of the function, y =X": --1½ A. -½x В. —0.5х-1Vx-1 С. —0.5…

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Q: luplace transforms Cosht COS!

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A: Solution :-

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Q: xy' 0 +(x-6)y-3y=

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Q: 35-40 Fixed Points. Find all fixed points of 7 + 2 2i, - 1 35. w = 36. w = :+ 2i

A: 35. Given w = z + 2z + 1 if z is a fixed point then z + 2z + 1 = z⇒ z + 2 = z2 + z⇒ z2 = 2⇒ z = -2,…