In the Laurent expansion of f(z) = valid in the region 1 < [z| < (:-1)(=-2) 2, the co-efficient of - 1 is

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Q: 2. Integrating factors found by inspection.: y(x² – y² +1}dx-x(x² – y² –1}dy = o

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Q: -2 21 =G B = and C =|-i 1 2 0 4 5 [7 1 Let A 3. Which of the following 4 is the third row of AT B –…

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Q: èg1

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Q: Let A = [ 3*0 .8 = [ Jand C = [14-0 Jand c = [1* | Find the matrix X, if 8+0 -10 A? + 3X =C |B|

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Q: Find the solution. dy y -xy? dx

A: This is a problem of differential equation.

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Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 %3D %3D

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Q: exercise Find the laplace of each f(t) 2. sin8t sin6t

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Q: Consider the following bags each containing three marbles with colors white (VW), black (K), yellow…

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Q: How long is this side? 1.7 cm 71° 21 2.2 cm 1.7 cm 4.3 cm 53° 37 2.1 cm 3.2 cm 2.9 сm 42 3.8 cm 3.6…

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Q: Which is a solution to the following system of equations? + 3: = 1 2y + 2: = 4 %3D + : = 3

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Q: the differential equation, and determine their stability. State what happens over time to solutions…

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Q: Integrate f(x) from x = 2 to 8 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000 + 24583x –…

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Q: What is the general solution to the differential equation d?y + 2 dy 6x – 3 = 0 ? - dx? dx y =x² +…

A: We have to find the general solution of differential equation .

Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: Consider the following IVP: x" - 4x' + 4x = 4e2i; x(0) = -1, x'(0) = -4 Find the general solution. A…

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Q: What is the particular solution to the differential equation x + (1+x)y = 12 with y = 0 and dy = 0…

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Q: Find and classify all critical points of the function 5 f (x, y, z, w) = x² + y? + 3z2 + w² + 3xy+…

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Q: Solve the following differential equation, (s x)+(cos x) y = 3 sin x with the initi al dx condition…

A: Given differential equation is (sin x)dydx + (cos x)y = 3sin x

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Q: 5. Assume that V × F = V × G. What is the most general relationship between F and G ?

A: ∇ x F = ∇x G =&gt; ∇ x (F - G) = 0

Q: p3 – 4x2 (x + 2)² ’ x(x+8)(x – 2) (x + 2)³ 8(7x – 4) (x + 2)4 - - - f(x) = with f'(x) = and f"(x) =…

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Q: 5. Given the system 10 2 (a) Find the general solution. (b) Find the solution that satisfies the…

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