Solve the differential equation by variation of parameters. y(x) = y" 16y= 16x 4x est

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Q: 2x₁ +4x₂ −5x₂ +7x₂ = 7 13-X₂ + x₁ = 0 2x₁ +3.x3−4x₁ =-7 −X₁ −X₂ + 2x3 + x₂ = 5

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Q: 1.2p 2.3q3.1r + 10.1 = 0 - 5.3r — 21.5 = 0 + 7.4r + 28.1 = 0 +.7p+3.8q 3.7p8.3q

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Q: Determine where the function f below is discontinuous: √x+10 if x7. A. At x=7 only B. At x=0 only C.…

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Q: 2.27 Use the method of characteristics to solve (y+u)ux + yuy = x-y, u(x, 1) = 1+x.

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Q: Complete the truth table below for ~ p↔ q Fill in the initial columns in the standard order. Р 9…

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Q: 4x₁ + x₂-x3 = -2 SX₁ + x2 + 2x3 = 4 6x₁ + x₂ + x3 = 6

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Q: 3. Assume that d € Z and √d & Q. Prove that if € Z[√d] has the property that |N₁(π)| is a prime…

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Q: (BOC)=(A-B)u(A-C). 11. If A and B are sets in a universal set U, then AUB=AnB. 12. If A, B and C are…

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Q: Evaluate f(x² + y²)dxdy, where D is bounded by circles x² + (y−1)² = 1 D and x² + (y-2)² = 4.

A: Evaluate , where  is bounded by circles  and .

Q: The order of the Galois group G(K, F) is equal to  [K:F].

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Q: 5. y"- y = xex, (0) = 1, y'(0) = 1

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Q: (B. Janssen, KTH, 2014) Consider the linear system 0.550x + 0.423y = 0.127 0.484x + 0.372y = 0.112…

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Q: 2. For each of the following pairs (z', 2) of numbers in Z[i]¹, determine whether or not z' divides…

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Q: Consider the following functions. f₁(x) = 0, f₂(x) = x, f3(x) = ex g(x) = c₁f₁(x) + C₂f₂(x) +…

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Q: If G is a group, prove that Aut(G) and Inn(G) are groups

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Q: M n=1 n? + ln(n) 2n3 – 1

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Q: Determine whether the Existence and Uniqueness Theorem guarantees the existence of a unique solution…

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Q: Find the area of the parallelogram whose vertices are (0, -2 (5,-2), (-3,1), and (2, 1).

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Q: If z = 5x² + y² and (x, y) changes from (1,2) to (1.05, 2.1), find the value of dz.

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Q: 7. Find the linearization L(x, y, z) of f(x, y, z) at the point Po. Find an upper bound for the…

A: We find the linearization of the above function and calculate its error

Q: Recall that with​ base-ten blocks: 1 long=10 ​units, 1 flat=10 ​longs, and 1 block=10 flats. What is…

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Q: Determine the value of the parameters for which the syster 3sx₁ + 5x2 = 3 12x1 + 5sx2 = 2 has a…

A: We have to determine the value of parameter s for which the system 3sx1+5x2 = 312x1+5sx2= 2has a…

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