Determine whether the method of separation of variables can be used to replace uxx+(x−y)uyy = 0 by a pair of ordinary differential equations.

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A: We have the formula :

Q: 3. A ₁ V2 V3 V4 V5 I | | has RREF 100 2 5 01 0 0 1 0 0 1 -3 10,

A: Matrix A:RREF of A:The system of equations is given by:

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A: The shaded region is A∪B.Explanation:

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Q: Hi I need help with part iii

A: The function ( iii ) is analytic in the region ∣z∣<2  and ∣z∣>2Explanation:

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A: a. y(x)=5x​−1b. y(x)=2x​−21​Explanation:

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A: As asked we shall solve only part (3).

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Q: Solve the IVP on (-∞, ∞). d³ y d²y dx3 i - dy +5- = dx² dx 2- 0, y(0) = 2, y' (0) = −3, y'(0) = -7

A: Hence the required final solution.Explanation:Step 1:Step 2:Step 3:Step 4:

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A:

Q: The Voronoi diagram for B , C and D is given below with a point K(6,4) that is to be added to the…

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A:

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Q: What is the value of the expression −35−35  ÷ 3−53−5?

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A: where The constant of the integration is zero.

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Q: calculate the exact slope m (rather than a decimal approximation) of the straight line through the…

A: m=25​Explanation:

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Q: . Explain why the inequalities *+<+3 an and x+1 x-1 x+2 x+5 (x-1)(x+2) < 0 are equivalent.

A: Inequality

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Q: Prove that for any function f : X → Y and for any subsets Y₁ and Y₂ of Y, ƒ¯¹(Y₁ NY₂) = ƒ¯¹(Y₁) Ñ…

A: