y' + 48y = e 5x sin x 5x differential operator that will annihilate the nonhomogeneity sin x.

Q: What is the general solution to the differential equation (tan x)dy - (4y In y - y tan³x)sec²x dx =…

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Q: xy dx + (1+ x²) dy = 0 ху

A: We have to solve

Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION 3. (x + 3)cos ydx - [siny In(5x + 15) - y] dy = 0

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Q: Determine the particular solution that satisfies the differential equation and initial condition…

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Q: 2. What is the integrating factor of the differential equation (x² -y²)dx + (x² - 2xy)dy = 0?

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Q: dx dy dz y +z X + y X +2

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Q: y + sin(t + y) = sin t is linear differential equation. Select one: True False

A: A linear differential equation order is of the form:a0 x dnydxn×a1  xdn-1ydxn-1+...+an-1xdydx+anx…

Q: Show that given differential equation dy y cos x + sin y + 9 – 0 is Exact and dx sin x + x cos y + x…

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Q: DIFFERENTIAL EQUATION (x +y)dx+ (2xy +x In 3x) dy= 0 When x == y = 2 3'

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Q: From the differential equation by elimanating he arbitary function f from xyz=f(x2+y2+z2)

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Q: Show that y = cos xsin x is the solution of the differential equation y'+y tan x cos x

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Q: . Separation of Variables: x(y +1)dx+ 2 dy = 0 .

A: To find solution of differential equation using variable separable method.

Q: Solve for the differential of y when y=sinzx, x=-, and dx=- 3 2

A: Pi/4

Q: Use integration to find a general solution of the differential equation             dy/dx = ex/(4 +…

A: Given ,           dydx=ex4+ex

Q: cosy dx + (1 + e¯*)siny dy = 0

A: By separating the variables on each side  we can integrate them easily. Given, cosy dx+(1+e-x)siny…

Q: By separating the variables determine the solution of the differential equation xsin^2y…

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Q: Find a particular solution of the differential equation COS X dy dx 1 +ytanx = cos x e cos x for…

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Q: Since dv = cos( cos9 x) dx, integrate the differential equation to obtain the function v. V = ^p -…

A: We have to find solution

Q: Solve for the differential of y when y= sinzx. x=-, and dx = - 3 2

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Q: solve the differential equation. tan2 y dy = sin3x dx                   when y(0) = 0

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Q: [cos y + 1]dy + [tanx (siny + y)]dx = [sin y cos x + y cos x]°dx gettyimages When:x = 0;y=

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Q: Use integration to find a general solution of the differential equation                  dy / dx =…

A: The given equation is  dy / dx = tan2 x

Q: determine the general equation using bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

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Q: Use integration to find a general solution of the differential equation                      dy / dx…

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Q: solve for exact Differential Equation (ex + ln y + y/x)dx + (x/y +ln x + sin y)dy = 0

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Q: show Itat the differential equation メり dy - -2-ye" dx xーとリ Xe 29 its exact and find its Folution

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Q: Show that cos x is the integrating factor of the linear differential equation dy/dx= sec x+y tan x

A: Integrating factors are useful for solving ordinary differential equation  that can be expressed in…

Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

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Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y = "

A: The given differential equation is solved below in detail.

Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: ex 1. y" – 2y' + y = x5 when y(0)=1; y'(0)=2 %3D

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Q: Find the differential of w = ln /x² + 3y² + 2z²

A: Here we use chain rule of differentiation to find the required differential. According to chain rule…

Q: The integrating factor of the linear first order differential equation dy dx sin2x- y+tanx Oa None…

A: The standard formula for the linear differential equation is dydx+P(x)y=Q(x). Here, P(x), Q(x) are…

Q: 4. y" +2y'+ = cos a COS

A: We will solve the problem

Q: Solve for the differential of y when y= sinzx. x= -, and dx 3 2 4

A: we have to solve the problem

Q: Use integration to find a general solution of the differential equation       dy/dx = cos 2x

A: The given differential equation is  dy/dx = cos 2x.

Q: (1+ y) dx – (1 + x) dy = 0

A: To solve the given differential equation: (1+y)dx-(1+x)dy=0 using the separation of variables.

Q: Solve for the differential of y when y=sinxx: x=-, and dx 3 2 2 2 4

A: y=sinπx, x=13, dx=12

Q: dy 2. 2xy da 3. 2ydx + x (x² In y – 1)

A: We are asked to solve differential equations.

Q: Solve for first odrer differential equation    (x^2+cosy)dy+(3x^2+2xy)dx=0 where; x=0 , y=π/2

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Q: Solve for the differential of y when y=sinzx, 1 x=-, and dx =-. 3 2

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Q: by

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Q: Use variation of parameters to solve the differential equation x²y" + y = x. [Leave u₁ and u₂ in…

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Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

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Q: 3. y"+ y= 2rsina

A: According to the bartleby policy , I can only answer one question.  So I answered  first question.

Q: 3. (sin'x + cosv)dx - tanxsin2ydy = 0

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Q: Solve the linear differential equation  (2y cosx + sin4x)dx = sinx dy  when x=π/2, y=1

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Q: azu Ex: Solve the partial differential equation дудх sin³x cos²y given that du %3D siny when x=0 and…

A: First take x as a constant and integrate with respect to y and the other one