У (2x? — ху + 1)dx + (х — у)dу 3D0 a. xye** – y²e*² = C b. xye** – 2y?e*x² = C C.xye*² _ y?e*? = C xye** – y?e*? d.- = C 2.

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A: The objective is to find the general solution .

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A:

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A: To evaluate ∫5-4y23+2ydy

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A:

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A: Answer and explanation is given below

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A: We have to solve the integral

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A: Find out for each of the given initial conditions whether the problem is solvable or not. Then find…

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A:

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A: The equation is given by x2+y2 = 9                                        .........1 To evaluate:…

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A:

Q: 5. y = 5sec(2x4) O a. y' = 40x³sec(2x4) tan(2x*) O b. y' = –40x³ sec(2x+) tan(2x*) O c. y' = 40x³…

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Q: in ze2arctao e C Itex) sec (2

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A: The objective is to find the derivative.

Q: A. Homo geneous Higher Ordered LDE 1. (D5 - 1204 + 520D3 - 112D² + 192D - 256)y- O

A: Solution

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A:

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Q: Exercise (6): cx=1 cy=2 cz=9/2 ha dzdydx

A: To evaluate the given triple integral

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Q: 2y + z = 1 29. у + 2z 3D 5 y (x + y + 3z = 8

A:

Q: = 3(2x + y)² + 1 2x + Y = y=1 = vY

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Q: у4у? -16у +19 dy (y-2)°

A: This indefinite integral can be solved by the substitution method.

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

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Q: {6} = I ( (b) T = [4,9) %3D (c) T = [-4,9] -

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Q: y" +2y' + y = t O y = t-2 O y = 1/2 (t) y = t O y = 2t -1

A: To find the particular solution to the given differential equation first write it into operator…

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A:

Q: 5 10-2z 12y – 8x dy dæ dz

A: To solve the triple integral

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Q: y = In(x + 3)4

A: As u mentioned to solve 2nd equation, the solution of the same is attached in next step.

Q: />(4y++ +9) * dy 12y2-

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Q: 28. y' ry + 1; (ry+ 1)dr- dy 0 29. dr- dy 0 %3D

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Q: C(-1, 3) and D(-5, 7) Vex, - x,} +(y, -y.: d%3= X, = _ ; X, = iY2=_ Y=

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A: Given - A parallelogram(figure) To find - Value of x in the given figure

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A: This question can be solved using the concept of integration by substitution.

Q: Evaluate B: А: Vye-y° dy 3e-4z2 dz 0, 0,

A: There is a general integral that gets calculated with the help of β function. The integral is…

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A: