Explain/Draw a discretization scheme and construct the system of linear equations Poisson equation with h = 0.5 Uxx + Uxy = 0 ху U(0, y) = 0, U(1. 5, y) = 10, U(x, 0) = 0, U(x, 1. 5) = x²

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A: Given functions are f(x,y) = xy + x2 - y3 - 1g(x,y) = x + 2y - xy2 - 2

Q: **PLEASE HELP WITH THE FOLLOWING AND PLEASE PROVIDE HANDWRITTEN WORK ON PAPER*** (9) Determine if…

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Q: (d) X₁ = {(1,0), (0, 1), (1,1)} CR² (e) X5 = {(1,0,0), (0, 1,0), (1, 1, 1)} CR³ (f) X6 = {(1,0,0),…

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Q: Find two linearly independent solutions of y" + 1xy = 0 of the form Y₁ = 1+ a3x³ + α6x6 +.. Y₂ = x +…

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Q: 2. (LI-2) Consider the equation r2y" - xy + y = 0. It is given that y₁ = z is one solution to this…

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Q: 5) Find dx/dt of Matrix: X 5e-1 2e-¹ -7e-t

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Q: please solve asap

A: The given system of differential equations is:X′(t)=[34​−2−1​]X(t);X(0)=[−22​] (a).Now the…

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Q: 1 y" +y+y=x²-2x 4

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Q: of the form y₁ = x¹(1+ a₁ + a₂x² + a3x³ + ...) y2 = x2(1 + b₁x + b₂x² + b₂x³ +.. ....) where r1 >…

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Q: -ប៉ា + w Oy F= 2(x-G)y Oy + F = 2(x + G) Oy-G=-=-1(x-F) 2 Oy - G=-1¹(x+F) 3 2 T 0 -1- --2+ -3 5 2 3…

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A: The given system of differential equations: (1) x→'=-1-3-2-2x→ (2) x→'=3-2-23x→ (3) x→'=-7-3-3-7x→…