9 (1 + In xy) dx + (1 + x/y) dy = 0; x > 0, y > 0

Q: 5. Find dy/dx (y - x)? = 2x + 4

A: Given: y-x2=2x+4 To find dydx. Solution: Power rule of differentiation states that: ddxxn=nxn-1…

Q: Q3\ using Euler method, find an approximate value of y corresponding to x€ [0 -0.7], Given = x(x +…

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Q: 2) dy x+3y dx 2x

A: We will solve the problem

Q: (8) dx Compared to I dx x In|x| Conterges or Diverges

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Q: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

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Q: 30. 5e dx 31. dx Зи du - 1 33. 3. x² dx 35. (x' + 5)* 37. ((3 In z + 2)4 39 dz

A: We have to solve the integration

Q: 2. Integrate numerically the given function, fx0.1(1.2-x)(1-e20(x-1)) dx with the multiple-segment…

A:

Q: 3 For y = 3x + x + 3 dy = -1 = dx

A: Given that:y=3x3+x+3To find: dydxx=-1

Q: Homogenous (2x²y + y³)dx + (xy?. 2 – 2x³)dy = 0 -

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Q: What is the general solution of =? %3D dx y2+1 What is the general solution of (y + 1) = 2x? %3D…

A: (As per bartleby guidelines, for questions containing multiple subparts, only three subparts will be…

Q: y' %3Dх (1 — у?) 2 2ху — 10у —х+5g- 0 ху +5у + 2х + 10 2х + 3 -dx + dy = у — 6

A: given differential equations are first order variable separable differential equation. We will first…

Q: dy sin(2x) Find for y || dx /3 – x2 dy dx II

A: Doing the proboem by obtaining the derivative.

Q: 3. Solve (x+y-1)dy = (x-y-3)dx

A: Given that(x+y-1)dy=(x-y-3)dxTo find solvesolution (x+y-1)dy=(x-y-3)dxdydx=x-y-3x+y-1Now x=x'+h and…

Q: Find the solution and the interval of existence for: (1-x2)dy/dx + 2y = (1-x)2

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Q: Solve for the general solution (4ху +3у — х) dx +x (x+2у) dy %3D 0

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Q: x2 dy dx by reversing the order of integration. 4/x 1. Evaluate

A: Given double integral is∫14 ∫4x4x2 dy dxNow , By interchanging the integral we have ,∫y=14…

Q: Approximate 2x e 2 dx using three equal subintervals. - 1

A: To Approximate

Q: The degree and order of the differential (出) 1 8 dy equation 1+ is 3 dy dx dx

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Q: 8. dy dx || = 1 x+y+1

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Q: dy Evaluate dx at point (4,2) given 3(x² + y²)² = 100(x² – y²).

A: Answer and explanation is given below

Q: 3. Differentiate y = 2x-1 - with respect to x and then evaluate 2 x(x – 1) -dx (2x – 1)2

A: Given and

Q: d’y - 2 y = 5x' + In(x²). dx

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Q: (2х — Зу)dx + (2у — Зx)dy %3D 0

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Q: ³₂²₁²[z³(x + y)³] dz dy dx

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Q: 2(х + у)dx — x(х + 2у — 2)dy %3 0? -

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Q: Calculate dy/dx. You need not expand your answer. y =x2.3/9+2/x2.3)(9x − 1) Answer ----->dy/dx:…

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Q: Find the solution and the interval of existence for  (1-x2)dy/dx +2y = (1-x)2

A: The objective is to find the solution and existence for  1-x2dydx+2y=1-x2dydx+21-x2y=1-x1+x The…

Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx Зdу — 4xу dx

A:

Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

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Q: Find the general solution: k^2 dx+(x-y+k)^2 dy3D0

A: Given that: k2dx+(x-y+k)2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: 2. (бх * у) dx +у (2х - Зу) dy 3 0

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

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Q: 30. Find the solution of exe dx-e-2Y dy = 0 %3D

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Q: Find the general and particular soulution of dy/dx=3y, where y=6 and x=0

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Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: 5.Differentiate.   y=3/2−4x

A: We will differentiate using chain rule of differentiation.

Q: Find dy/dx at the given point without first solving for y. xy2 = 343 at (7, 7) dy %3D dx

A: Given query is to find the derivative of the expression.

Q: The approximation of I = f(x-3)** dx by composite Trapezoidal rule with n=4 is:

A:

Q: Solve dy dy + y = 2sin(3x) - dx? dx using the method of undetermined coefficient.

A: We solve the given differential equation by method of undetermined coefficients.

Q: 2x-1 11. y = 5x+2 12. y=(5x² + 2x + 1 )3 13. y = V2x + 6 /14. y = 15. x = 2x + 3, what is dy/dx? =…

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Q: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

A: Note : as per our guidelines we are supposed to answer only one question if there are multiple…

Q: (х — у)(4х + у)dx + x(5х — у)dy %3D0

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Q: (х + Зу — 5)dx — (х — у—1) dy 3D 0 -

A: Given: x+3y-5dx-x-y-1dy=0 To Find: To solve the given differential equation.

Q: Uniclaretiana Fundoción universitaria Claretiana 1 (In x - 4) dx – (x + 1) dy = 0 2 4 +6x) dx +…

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Q: y

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Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

A:

Q: .2 dy Find for y dx V6 – x5 - dy %3D dx

A: We have to find dydx