Given f(x, y) differential df = 10x?y then the total O 20xy dx + 10x² dy 20x dx + x2 O 2xy dx + x² dy O None of these О 10гуdx +10х? dy

Q: Suppose x and y are variables satisfy the equation x² -y³ = 12. What is -? dx dy 3x4 (A dx 4y3 dy…

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Q: x3 1+x² dx

A: Note : according to our guidelines I can solve only one question, please reroute the remaining one.

Q: + 1) dx A B C (x + 2) (x - 1)² = √ [++^2 + == 1 + (0-12 dc. ]dx. dx, the values of A & C…

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Q: Which of the following is equivalent to ® / ² / du. A U B C -du, where u = x² - 16 2121/12/17/1/2 2x…

A: See this solution in below.

Q: 6) Find dy 1+eX for y= dx 1-ex

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Q: 18. S V1+x dx 1-х

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Q: 1 Evaluate I = dx x²V9+ 4x²

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Q: Find dy if y=33 dx 09x² 3x² 3 3x² 9 음

A: Solution-

Q: dy 5. x- 3y = x². dx

A: (5)We need to find the solution of given differential equations

Q: 1+x 1 · S -dx 1+x2

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Q: Find dy. y = x/9x - 7 27x - 14 dx 9x -7 27x - 14 dx 29x -7 O 27x+ 14. dx 2/9x -7 27x + 14 dx V9x -7

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Q: 2 2 Findª for x³ + y³ = a³

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Q: The independent variable of the (dy/dx-5 y=0) is О У X O x and y O dy O None of the above

A: For any differential equation, the terms: dydx, dxdy, dydt, dpdq etc. are called the differential…

Q: If S (x − 1) (x − 3)(x + 7) 10 3 7 1 Adx de = [ 2015 ] dx + X 3 Bdx x + 7' then A+B =

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Q: 4. . Sx5 Vx3 + 1dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find dt OA. ○ B. OC. O D. for y = (5t? - 4t)?. dt dy dt dy dt dy dt = 2 (5t² − 4t) + (10t − 4) =…

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Q: dy + y = 2xy²e* da x2 + C C O y = x² + ez y = (-x² + C)¯³e¬ = 22 + C yez ||

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Q: 3x2 dx 1. J3-5 2. S 2x dx x2-1 2x-2 3. S x2-2 4. S 5x-6x dx x5-3x2 5. S 10x*+3x*+4x dx 2x5+x3+2x2

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Q: If f'(2) = 5 then [4f(x) – x³]x=2 %3D dx Select one: O 32 O 8 O 28 O 20 O none

A: Given f'(2)=5To find ddx[4fx-x3]x=2

Q: 1. e-st cosh t dt 2x +4 2. 2x2 + 21x + 34

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Q: dx 8. J x*V5x-x

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Q: 5.[15] Evaluate V1+7x dx a. Identify u= b. Find du=

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Q: 1. S(x +5)5 dx 2. S(9+ x)² dx 3. S(2x +5)3 dx 4. S(3x + 5)²dx 5. S 2x V1 +x² dx 6. Sex+3 dx 7. S5e3x…

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Q: 22. Find OY if y2 - 4xy + x² = 10. dx

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Q: (2y + 3)dy S- 9y? 2 +2y +8

A: As per our company guidelines we are supposed to answer only the first question. Kindly repost the…

Q: (iv) 15-22 dr. u = (v) S 15 · T/9 – x² dx. 9-z (vi) J +15 da. u=

A: iv) 15x2/sqrt(9-x2) v) 15 pi sqrt(9-x2) vi) 9x/(x2+15).

Q: 3- Solution of the following equation * dy 2 d?x = 2(3+ x2 - xy)/x³ dx

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Q: 2. v²dx+x(x+v)dv=0

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Q: - 2 dx3 + 2 d?y dx? d x4 2 dy

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Q: 15. 5² dx (x² - 1)3/2 1/2 17. ²x√1 - 4x² dx 19. f √ √ x 21. fºx² √a² — x² dx 23. f √x²-9 29. J S X…

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Q: af Find and f(x, y) = 4xy – 6x? – y? + 9x – 3y + 3 - af af dy 3 f(x, y) = (4x – 6y)* fe af dy ||

A: Partially differentiate with respect to x and y. Detailed solution is given below.

Q: - If y = u – 4u and u = = 3x + r, then dy с. dr 1 dy а. dx 12x3 + 1 12x3 + 1 3u? 4 dy (3u² – 4)(12r³…

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Q: 7. (x² +x – y)dx + xdy = 0.

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Q: 4. (y- Vx² +y? )dx- xdy = 0 when x= 3, y=1 +X1

A: The solution are next step