Question 18 Which of the following differential equation is (are) solvable by a method that requires a substitution or transformation into a new differential equation? 1. (x − y) dx − (x+y)dy=0 11. (x² - y²) dx - (x² + y²) dy=0 III. y²dx + 3xydy = 0 IV. (x-2) dx-(x+3) dy=0 A Statement III & IV only. B) Statement II & III only. None of the statements (D) Statement I & II only. E Statement I & III only. (F) Statements I, II, & III only.

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A: Given: The given details are, Ω is a bounded open set in ℝ2 and that g : ∂Ω→ℝ continuous with the…

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A: According to our guidelines we can answer only one question and rest can be reposted.

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Q: 1. Use the tables to find the z transforms of the following d. e³n e. cos 3h www f. sin4n

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Q: Family of unit circles centered at (h, k) Answer: (y")² - [1 + (y')²]³

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Q: 3_ Complet X f(x) the 0 0.5 - following table : J 2.71828 1.5 1.75 5.75460

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Q: Q2) Solve the BVP utt = Uxx ux(0,t) = 0 u(x,0) = 0,_ u₂(x,0) = f(x) = {100 0 0 01

A: We have to solve the given boundary value problem using the given boundary condition.

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Q: QI complet the table: X f(x) С 0.5 2.71828 1.5 - 1.75 5.75460

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Q: 3 Evaluate Inverse Matrix A-¹ = -1 2 12 2 1 -1 1

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Q: 1. Use the tables to find the z transforms of the following a. 6 b. 2 C. e 2n

A: a. since Z[1]=zz-1 now Z[6]= 6 Z[1]=6zz-1

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Q: 13) y = 4+ lnx solves xy' = 1 14) y=3-x+xlnx solves y'= ln x

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Q: vector form, where A is row equivalent to the given matrix. 3 -3 7 1 -2 -9 5 1-4 5 0 1 2 -6 7. 9. [6…

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Q: 1. Use the tables to find the z transforms of the following d. e³n e. COS 3n f. sin4n

A: Note: we are solving the first three.

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