Integrating Factor by Formula b) y² cos xdx + (4 + 5ysinx)dy = 0

Q: Use integration to find a general solution of the differential equation. (Use C for the constant of…

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Q: Integrating Factor by Formula a) (2y² + 2y + 4x²)dx + (2xy + x)dy = 0

A: The given expression of the form Mdx+Ndy=0 For exact ∂M∂y=∂N∂x M=2y2+2y+4x2∂M∂y=4y+2N=2xy+x∂N∂x=2y+1

Q: INTEGRATING FACTOR FOUND BY INSPECTION y(x²y² – 1)dx + x(x²y² + 1)dy = 0

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Q: 12.S V1-e6x dx e3x

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Q: SOLVE USING INTEGRATING FACTOR 7. (y +y cos x- ye") dx + (3x +3 sin x – 3e*) dy = 0; y (0) = - 1 %3D

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Q: x' cos 2x dx

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Q: Use integration to find a general solution of the differential equation. (Use C for the constant of…

A: In order to determine the value of y, the given function needs to be integrated by substitution.

Q: The order and degree of the differential d³y V dy equation: 7+ i. - dx3 dx 3, 2 7,3, 3, 1 3, 7

A: The order of a differential equation is the highest order of the derivative that is present in that…

Q: 55. (x + 2)² sin x dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Pls solve using Integrating Factors Found by Formulas: xydx - (x^2 + 2y^2)dy = 0

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Q: using separation variable 1.) x cos^2 y dx + tany dy = 0

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Q: 18. y = 3 sin(x²), y = e/2 + e 2x

A: Consider the provided question, We need to use a graph to find approximate x-coordinates of the…

Q: siny µ(x,y) = ye* is an integrating factor of dy 3D0 2e sinxldx cOsy+2e COSX Select one: True False

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Q: 2 sin -(x/6) dx Evaluate the integral 2. 36-x 2. r(sin sin (x/6) dx 2. V36-x?

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Q: dy + 2ху dx %3D

A: integrating factor method.

Q: tegrating Factor by Formula a.) y²cosxdx + (4 + 5y sin sin

A: We have to find integrating factor:

Q: 4. Triple Integration Evaluate the equation below ex+y+z dx dy dz

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Q: 6. f In² x dx

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Q: Determination of Integrating Factors 1. (2xy – y² +y)dx + (3x² – 4xy + 3x)dy = 0 %3D | -

A: As per guidelines we have to solve one question

Q: OSycosy y dy Sin COS (y 3(-cos(y)+ 3, ANSWER: 3 y sin (y) 3. хе dx ANSWER.: - c *…

A: Please see the answer below

Q: Triple Integical пун Evaluate SS * cos(y) dz dx dy.

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: S 2z5V2 + 9z2 dz

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Q: 1.ху dx — (х2 + у?) dy

A: Here, the given equation is: xy dx-(x2+y2)dy=0⇒dydx=xyx2+y2⇒dydx=xyx2x2+y2x2⇒dydx=yx1+yx2...(1)

Q: Using the method of Variation of Parameters, the particular solution y, for the NHLDE y"+y=sec x is…

A: We  have to find particular solutions

Q: 5. fe²x sin x dx

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Q: 1. 8te" dt 2. 4x cos(2 – 3x) dx 3. | (2 + 5z) ei* dz 9,

A: As per the bartleby guideline if more than one question is asked only first question to be solved,…

Q: 7. xcos2y dx + tan y dy = 0

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Q: Evaluate the integral. (Use C for the constant of integration.)   (x2 + 4x) cos(x) dx

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Q: dx Half-angle Substitution cos x +sin x-1

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Q: 12) Use integration by parts to evaluate. Express answer as both exact and approximate using 3-…

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Q: Question * Using integration by parts, the integral [(-4x² + 9) co cos x dx is equal to:

A: intregation by parts

Q: Using Integration Techniques to solve from the explicit solution. (x)(dY/dx) + Y = (x)(sin(x))

A: Linear differential equation of the form y'+p(x)y =q(x) Integrating factor is given as: I.F.=e∫p dx…

Q: 5.Integrating factor by Formula 2 (2y? + 5xy – 2y + 4) dx + x (2x + 2y – 1) dy = 0

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Q: Integrating Factor by Formula a.) (2y²+ 2y+ 4x²)dx + (2xy + x)dy = 0 b) y²cosxdx + (4 + 5y sin…

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Q: Integrating Factors y (2x -y + 2) dx + 2(x – y) dy=0

A: Given that the differential equation is      y(2x-y+2) dx + 2(x-y) dy = 0  Here we have to find the…

Q: solution using Integrating Factors Found by Formulas  xydx − (x^2 + 2y^2 )dy =

A: Given differential equation is, xydx-(x2+2y2)dy=0 Comparing this differential equation with…

Q: sin20 B)Evaluate the integrals: i) f/2 inzerdrde, ii) ¹/2 ¹/² finx ₂² siny dz dy dx . 0

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Q: ..2 (2y2 + 5ху 2y + 4)dx + x(2х + 2у — 1)dy -

A: we have  to find integrating factor then find complete solution

Q: siny µ(x,y) = ye is an integrating factor of ( - 2e-Xsinx)dx +( cosy+2e Xcosx. -)dy = 0 Select one:…

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Q: 1.y(у + 2х 2)dx — 2(х +уjdy 3D 0 - -

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Q: Two methods a. Evaluate - dx using integration by parts. Vx + 1 b. Evaluate = dx using substitution.…

A: (a) Consider the provided integral, ∫xx+1dx Evaluate the provide integral by parts method. We can…

Q: Determination of Integrating Factors 1. (2y2 + 3xy - 2y + 6x)dx + x (x + 2y - 1)dy = 0

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Q: 8. Se cOS x dx

A: Let, I=∫ex3cos x dx

Q: FINO THE PARTICUCAR SOUTUON OF THE DIFFERE NTIAL EQUATION -スx =e + hx t子x-9 dx² -2x dy e AT X=0,9=0…

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Q: The integrating factor of the differential equation A. cos x B. secx +y tanx - secx = 0 i= C. ecosx…

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Q: Integrating factor of the differential equation y' + ytan (x) – sec (x) = 0 is ecos(x) cos (x) sec…

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Q: linear integration where product C:y = 2x, 8i Cr²+y)dx + (Zxy +3)dy

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Q: Solving the question by nonhomogeneous equation Not: without using themethod of variation of…

A: The given differential equation is: d2ydx2+y=tan x

Q: Find the AREA enclosed between the curve y = -x³ + 2, Y- axis and a line y = - 6. Provide a skeʻch;…

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Q: (ii) Using integration by parts and the result in (i), find [sin"x dx.

A: We use integration by parts