L, Ix|e(1+x³) dx

Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: a) Solve (x² – 1)dy + [2xy – (1 + last digit of your id)]dx = 0

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Q: 5. (x* +a')dy= 2x| (x² +a²) +3y dx, where a is constant.

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Q: dy الحل العام ل لمعادلة e2x+3y dx

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Q: xsin-1x > [4) S*s dx [4] S Y1-x2

A: Here is the solution

Q: e dy dx У-х+1 У-х +5

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Q: e2x-1 If y = prove that = 1- y² dx

A: Given :y=e2x-1e2x+1

Q: a. (2ry*e + 2xy + y) dx + (r²y*e -x²y² – 3x) dy = 0; when x = -1, y = 1

A: As per our guidelines we are supposed to answer 1st question only. Please repost rest questions...…

Q: e | Vĩ In x dx 1

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Q: x²V4x +1 dy then dx If y = In (x³ + 5)3

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Q: L,sgn(x) dx = 1. 0 2. 2 3. -2 4. 1 2 O 1 3 O 4 O

A: (1)…

Q: e2x -dx =D 1+ex (A e2x + In(1+ e*) + c B 2e2x – In(1+ e*) + C © e2x – In(1 + e*) + C D ex- In(1+ e*)…

A: Integration

Q: 2 (x-4) dx = (S %3D 2.

A: Given : The definite integral is ∫02 ( x - 4 )2 dx .

Q: 13. (x² + y²)dy dx

A: The given double integral is,

Q: 18. S V1+x dx 1-х

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Q: - (64 – 2²) " - dy dx %3D

A: Solve the initial-value problem for y as a function of x.     64-x2dydx=1 , y0=6

Q: d/S Vx5 dx el S- dx, (x # 0) 2x

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Q: 1 What is S dx? x²+2x+5

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Q: Evaluate: e-y- [²" [m(x + y) - 7] dy dx In(x 0 x

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Q: (2x² – ye")dx – e dy = 0. - -

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Q: dx V2x-x2 /2х-х2

A: Evaluate ∫42x-x2 dx

Q: So d e2x 0 e2-5 dx is equal to

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Q: bernoulli dy dx + X = - 9.5 -xᵒy

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Q: Q4. Evaluate : O (xy²) dx dy -√1-(x-1)²

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Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: 7. Find: y = In dx √6x-5 [ Lex (x+1)³.

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Q: @[² (d) √x-x (x² + y²)³/2 dy dx.

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Q: Find the formula for df-1 /dx. f(x) = (1 – x)3 1 O A. 3x2/3 О В. 1-х1/3 Ос. -3(1- х)?

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Q: dy - 3x2 + 4 y = In ² x – In x dx dx

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Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

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Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: 5. S , dz dy dx 2 c3

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Q: a1/so/ 1- dx= 3y° E=X dy

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Q: d Show that In dx 1 (a) x+2 x* +3x +2 1 (b) Hence find the exact value of dx in simplest form. r*…

A: iii.a. Quotient rule of differentiation states that ddxfg=f'g-g'fg2 Chain rule of differentiation…

Q: 5 (a) | x² In(2x) dx (b) x'e*dx 'xp, Jo

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Q: In e ex 2. dx e2x + 1 In 1

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

Q: dx -x = ev/2 x3 dy 2)

A: By using linear differetial equation method

Q: + 2e* – 4V¤)dx , where f(0) = 7 -

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Q: If f(x)=3^x x^3, what is dy/dx?

A: Solution: Here  f(x)=3xx3

Q: A. Evaluate Inx dx. 2x B. Evaluate [(7x-10)dy dx. 0 x?

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: In3 x B. Evaluate ( [e2x+3y dy dx

A: We have to integrate

Q: G. (3x ty - 2)dx + (3x ty +4)dy <0

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Q: dy e2x -3 Find if y = In %3D dx 1-4x

A: SOLUTION-

Q: In Prob. 1-38. Find dy/dx.

A: Given; y=e2x+3.

Q: dy - Sy = -xy* xy² dx

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Q: 2. Find b such that dx 1+x2 3

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Q: dy 3) xIn x- +y = 2 In x dx

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