Find d²y[dx². 1. y = x* - 7 2. y = x + 9 3. y = 2x4 – 5x 4. y = 5x3 + 4x 5. y = 4x2 – 5x + 7 6. y = 4x2 + 3x – 1 7. у %3D 7x + 2 8. у3 бх — 3 9. y = 10. у %3 11. y = V3 12. у 3 VE

Q: Inx+ 1 dy If y = then %3D 2x3 - 3x' will be dx (2x – 3x) + 1) – (In x + 1)(6x² – 3) А. (2x³ – 3x)² -…

A: Use the formula of differentiation of fraction of Two functions in same variable.

Q: 6. (6x – 3y + 2) dx - ( 2x - y– 1) dy = 0 ans. 3x - y + C = 5 In | 2x - y + 4|

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Q: 1.S (3x5 – 2x – 5x – 3) dx 2.5 (y? – 1) (3+2y) dy 3.S V + 5VX³ dx

A: Dear student. Since you have posted many sub-parts, in our policy, i have answering the first…

Q: 1. 2d2y/dx2 - dy/dx + y = 0 2. d2x/dt2 + 4dx/dt + 4x = 0 3. 2d2y/dx2 -3 dy/dx +2y=0

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Q: Solve the initial value problem.

A: The initial value problem: dydt=2t+9t2, y1=2

Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: Find dy if y2T+4+ In(x+2)= xy3 dx y - 2Vx+4 2yvx+4 -3xy 2x+4 2yvx+ 4 y -2 2yvx +4 - 3xy- Vx +4 2yvx…

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Q: 7.5- yy - 9 4+9) dy -6- 8.S 1 dx e2x+ e-2x

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Q: f(x, y, z) = eVx2 + y2, E = {(x, y, z) | 1 < x² + y2 < 4, ys 0, x < y/3, 3 s z 5 4} E = {(x, y, z) |…

A: given fx,y,z=ex2+y2 and a region of integration E=x,y,z|1≤x2+y2≤4 , y≤0, x≤y3 , 3≤z≤4 claim-…

Q: cos2y−3x2y2)dx+(cos2y−2xsin2y−2x3y)dy=0

A: Mdx+Ndy =0 form so  first check it it is exact differential equation or not. If dM/dy=dN/dx. Then it…

Q: 26. Evaluate (x³ + y² + z)dx dydz.

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Q: /2x- xy dydx = 0,

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Q: 1. S 3x° + 2x3+7x - 4 dx 2. Sx7 – 48z11 3. S 10t-3 + 12t-9 + 4t³ dt 5z16dz -

A:

Q: Compute dx. X + 2 *+ C Ox-2in|x| +C + C 2+ 2x Ox-2injx + 21 + C + C (x + 2)2

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Q: 6- Find ify dy t2 and t = V2x +1 dx t2+1 dy A): 2 dx 4(x-1)2 dy B) dx 2 2(x-1) dy C) dx (x-1)2

A: We can do this by chain rule or by putting value of t in y y=t2t2+1put…

Q: Find the integrating factor of y'+ 3(x^2)y = 4(x^2)(y^2)

A: Divide the equation with y^2.

Q: 1. 2х dy y (x + 1) dx + 6уз dx 3D 0. 2. 2x 'y' = y (y + 3x) 3. dy + y dx = 2xy²e* dx 4. dx + 2x =…

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Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

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Q: Find * dy ,If y 3 dx + x O x^2 + x O x^3 + x^2 +1 O x^2 + x + 1 O 3x^2 + 2x + 1

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Q: dx = 3x + 2y + 4z dt dy = 2x + 2z dt dz = 4x + 2y + 3z dt

A: Consider the given system of equations, dxdt=3x+2y+4zdydt=2x+2zdzdt=4x+2y+3z In the matrix form it…

Q: ( 2x – 3y + 1)dx – (3x + 5y – 6)dy = 0 %3D O 2x² – 5y² = 6xy – 2x + 12y = C O 2x² - 5y² - 6xy – 2x +…

A:

Q: Find d^2y/dx^2 at (-1,-2) if 3x^3-2x^2+x = y^3+2y^2 +3y.

A: Given function is: 3x3-2x2+x=y3+2y2+3y Let us consider: y'=dydx ; y''=d2ydx2 Differentiating both…

Q: If the substitution y = x is made, the integral - 1 64 2 3x³ 3+x² 3x³ 3 + x² .64 18x8 3 + x² S™ [²3…

A: The objective of the question is rewrite the integral  and choose the correct option.

Q: (3x + 7y)dx + (3x + 6y)dy = 0 (2x² + 8xy + y²)dx + (2æ² + xy³/3) dy = 0 %3| (2x – 5y)dx + (2y+ 2x)dy…

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Q: (2,5, – 6) | 16x dx + 4y dy + 2z dz (0,0,0)

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Q: 3 у 3 (4х + 3) y =(3x* + 4) dy dx 会- dy %3D dx у 3DIN (4x3 + 3) y =e5x* + 4 dy dx dy е %3D dx II II

A: Note: According to the question-answer guidelines the expert suppose to answer the first three parts…

Q: 1. So² – 1),/ỹdy ²+1 2. S dx +3x 3. SEVT + 12 dt 4. dy 5. S 4-3 6. J +5x*+16+1

A: topic - indefinite integral note : as per bartleby guidelines, we are supposed to answer only first…

Q: 5 4х — 2 d Find dt - dx x² + 20 2 4t – 2 t2 + 20 2 – 16t - 16t2 + 20 16t – 8 ¢2 + 20 2 – 4t - t2 +…

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Q: (x + 1)2 + y = Inx; y(1) = 4 dx Oyx + 1) = xlnx – x + 9 Oyx + 1) = xlnx – x + 8 Oyx + 1) = xlnx – x…

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Q: dx + 6x = 3yæ y- dy 1 1 x = (x – a²C)³ (y – y²C)³ Option 1 Option 2 1 1 y = (x + x²C)³ x = (y +…

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Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as:…

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: Z eXZ 4. xyz dydx dz

A: Solution:

Q: ( 2x – 3y + 1)dx – (3x + 5y – 6)dy = 0 %3D O 2x² – 5y² = 6xy = 2x + 12y = C O 2x² - 5y² - 6xy – 2x +…

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Q: 14-2x 1. ! ] dydx 0 2 2. dxdy 0 y 11-r 3. dycx o 1-x 4. [[ dydx 0 0

A: Answer 1: changing dy dx to dx dy; limits of integration: 0 ≤ x ≤  [2 - (y/2)] 2 ≤ y ≤ 4

Q: dx Зх — 2у — z dt - dy 3x – 4y – 3x dt dz - 2x – 4y dt

A:

Q: x2 -dx 1+ x4 -dx (x² + 1)²(x² + 2.x + 2) 1 -dt, for a> |6|. > [b]. а a +bsent

A:

Q: 15. If y3 – xy = 5 ,1 d²y then dx2

A: y3-xy=5

Q: find the first and second derivatives. 1. y = -x2 + 3                                2. y = x2 + x +…

A: 1) Given thaty = -x2 + 3On differentiating y with respect to x,

Q: ^4-x² •6-z 2. Evaluate: dy dz dx. 3x2 4-z 3. Evaluate: dx dy dz. Jo Jo 0.

A: To solve the given triple integrals

Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: (3x² + 8x – 12)dx - x3 + 7x² + 12x x² – 12x + 4 dx (x2 — Зх + 2)2 t² + 4t + 10 dt t3 + 2t² + 5t dy 3…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: Find dy/dx of 10x - 18xy2+10y3 = 48 9y-20x 3 (бу? -5ху) dy !! dx 9y-20x dy 3 (буз - 5ху) %3D dx dy…

A: topic - implicit differentiation

Q: 2x - y + 5) dx - (2x + y) dy = 0 where x= 3, y=7

A: Let's find.

Q: dN1 =rN1 dt (1-*) - aN1 N2(1 – exp[-bN1]), K %3D dN2 = -dN2+ N2e(1 – exp[-bN1]), dt

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Q: dx + 6x y- dy 1 y = (x – a²C)³ (y – y²C)³ Option 1 Option 2 1 1 (y+ y²C)³ (x + x²C)³ Option 3 Option…

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Q: برهن على صحة التكاملات التالية : fx²J, (x) dx = x²3, (X) + x1(x)-[Jux) dx J, [x*J₁ (x) dx = x* J,…

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Q: 1 dz -÷z³ = t² + 3t – 2 dt 3 z2 -

A: Differential equations and their type

Q: d2x/dt2 + 4 dx/dt + 3x = 2 x(0) = x’(0) = 0

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