Consider the differential equation dy y= cos T such that for x = sin a da 2.4 2 Let u be the integrating factor. Then y +6+ where

Q: 4. Find the general solution of the differential equation dy + y cot r = 1, dr COs z recalling that…

A: We can find the answer as below

Q: Determine the degree of the given Differential Equation: 3t2 dy (sin t) dy dt cos ty = 0 a. 0 dta b.…

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

A: To find- integrating factor

Q: (xy + 1)dx + (x(x+ 4y – 2)dy = 0

A: The given form of the differential equation is: Mdx + Ndy=0 Where, M=xy+1N=x(x+4y-2) The formula of…

Q: Find the differential equation corresponding to the family (x + a)? + 2y2 = a², where 'a' is the…

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Q: 5. dx y?. dy + 2xy = sin y,x(n) = 1

A: As per the rules we are supposed to answer only first question and rest can be reposted.

Q: What is the integrating factor of the given differential equation (2xy- 1) da + a dy = 0 ? O r-1 O e…

A: The given problem is to find the integrating factor for the given differential equation, we have to…

Q: consider the differential equations y/(t) = cos(t) %3D (t) = cos(ult))

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Q: The substitution V = In u can transform the differential equation (DE) dy/dx + y = 2(y In y) %3D %3D…

A: We have dydx+y=2ylny                    ...(1) Let v=lny Taking e on both sides: ev=elny⇒ev=y⇒y=ev…

Q: Which of the following differential equations is not homogeneous? A + In- ldy = 0 y sin- B (x² –…

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Q: (2y² + 3xy – 2y + 6x)dx + x(x+2y – 1)cjy = 0 %3D

A: Please see the below picture for detailed solution.

Q: Determine the Integrating Factors of the following differential equations a.) (x2 + y2 + 1)dx- (xy…

A: We determine the Integrating Factor of the given differential equation   (x2 + y2 + 1)dx- (xy +y)dy…

Q: Find integrating factor of the following differential equation sinx ay = sin*x+(cosx)y dx a. -cscx O…

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Q: Consider the differential equation y′′ + 4y′ + 5y = f (t), such that y(0) = 0 and y′(0) = 2. The…

A: The given differential equation is                                        y''+4y'+5y=f(t), such that…

Q: Solve the separable differential equation for u du dt Use the following initial condition: u(0) =…

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Q: The degree of the differential equation d®y e dx = sin x is O 1 O 8 O not defined O 2

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Q: Use an Integrating Factor to solve the differential equation.

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Q: Find the integrating factor so that the given differential equation will become exact DE. – 3) dæ +…

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Q: What is the appropriate integrating factor to the ff. linear differential equation? dy + (1+xcotx) y…

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Q: The particular integral of the differential equation(D+3) (D – 3)y = tan z x cot z is %3D

A: The given differential equation is  (D+3)(D-3)y =  tan(x)cot(x) As tan(x) = sin(x) / cos(x) and…

Q: Evaluate the following differential equations: (Use separation of variable method) 1) xsin y dx +…

A: Given differential equation is x siny dx+(x2+1)cosy dy=0

Q: Consider the differential equation d?T 2xT = 0, - dx2 subject to the boundary conditions T(0) = 1 ו…

A: Consider the given information.

Q: Find the integrating factor of the differential equation dy + 2xy = x³ dz %3D a. b. c. 2 In (r) d.

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

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Q: Let o(x) = -t2 dt, x E R. e (i) e=t* dt = Y[o(b) –o(a)]. Show that a (ii) Show that the function y =…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: What is the appropriate integrating factor to the ff. linear differential equation? + (1+ xcotx) y -…

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Q: Consider the first order linear differential equation dy + (a – a)y = cos(4). da Which of the…

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Q: Assume that p, q : S' → R are continuous and p + 0. Find all solutions of the differential equation…

A: Given: Let us consider the given p,q:S1→R are continuous and ∫S1P≠0 and determine the al solutions…

Q: Find the general solution of the differential equation y" + zy' + 25y = 6 cos(5 In z) + 6 sin(5 In…

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

A: Given diffrential equation is of the form of first order non exact form so multiplying equation with…

Q: Verify that the function y = a cosx + b sinx where a,b e R is a solution of the differential…

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

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Q: Solve the differential equation dy х — у —1 dx x + y + 3 by finding h and k so that the…

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Q: (a) Show that the function y=x +x is a sohution of the following differential equation dy =x+1. dx

A: Take integration to solve it

Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + t²)/+ y =…

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Q: Which of the following differential equations are ordinary? (Select all that apply) dy + 2 dx = cos…

A: By Bartleby policy I have to solve first question, as these 2 are unrelated problems. These 2 are…

Q: dx + 2- + x = u(t) x(0) = x'(0) = 1 dt %3D %3D dt

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Q: y cos(xy) dx + [2y + x cos(xy)]dy = 0

A: Explanation of the answer is as follows

Q: 1. 2sin²2t dx = cos x(1 + cos 2x)dt %3D

A: the given differential equation is: 2sin22t dx=cosx1+cos2xdt we have to find the general solution of…

Q: Evaluate the given differential equation (3siny – 5x)dx + 2x²coty dy = 0 A. x (siny – x) = Csin?y B.…

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Q: Find the particular integral of the following differential equation. d2y/dx2+ y = (x + 1) sin x

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Q: y' tan x = a + y, y(T/3) = a, 0<x< T /2

A: If a differential equation is given, then isolate the similar type of variable on one side. Then…

Q: Consider the first order linear differential equation dy + (22 + cos(»))y = cos(»). Which of the…

A: Follow next step

Q: Which of the following function can be used as an integrating factor for the non-exact differential…

A: Explanation of the answer is as follows

Q: (b) Verify that the given family of functions solves the differential equation. dy (i) dt 1 = (1 –…

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: The particular integral of the differential equation (D+3)(D – 3)y = sec²x – tan?z is

A: Explanation of the solution is given below....

Q: Find the integrating factor for the following differential equation dy (2x+3)-2y= (2x+3)3 dx O a.…

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