ly- cos? x) dx+ cos xdy = 0

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: Solve the given differential equation by separation of variables. csc(y) dx + sec²(x) dy = 0

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Q: Solve the differential equation by variation of parameters. y" + y = sin?(x) sinx ( sin’'x cos (x) +…

A: Solve the above questions

Q: Solve the differential equation using variation of parameters. d’y +y= sec³(x) dx

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Q: (3ху2 — у?)dx + (2х?у - 2у)dy - 0

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Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

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Q: What is the general solution to the differential equation (3 tan x – 2 cos y) sec?x dx + tan x sin y…

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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: x3+ xy² + y)dx + (y³-

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Q: Solve the differential equation by using variable separable method: ( cosxcosy – sinxsiny)dy = dx

A: Since we can write  (cos(x)cos(y)-sin(x)sin(y)) = cos(x+y). Now solve equation by rewriting as…

Q: Use integration to find a general solution of the differential equation        dy/dx = 4x2 + 7

A: Given ,     dydx=4x2+7      dy=4x2+7dxThis is variable seperable form .

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: dy + ( 1+x)y = e -× sin2x dx

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Q: dy 2. dr 2xy

A: Given : dy/dx - 2xy = ex²

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: sin x sin y y' cos x cos y

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Q: I. dy tan(x) dx Cos (x) + x²

A: Given equation is dydx=tanxcosx+x2   What is the best way to solve the First Order Differential…

Q: Solve the differential equation by variation of parameteres:   y'' + y = sin2 (x)

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Q: Solve the differential equation below: xcosydy+sin2ydy-dx=0

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Q: 2. (cos x cos y cot x) dx + (- sinx sin y) dy = 0

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Q: y' cosx f. -=cos y

A: The given differential equation is,y'cos2x=cosy

Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: Solve the given differential equation by finding an appropriate integrating factor to make it exact…

A: Given equation is the linear equation  of the form  dxdy+xP(y) = Q(y)  and integrating factor is…

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

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Q: Solve using the non-exact linear differential equation  [ytan(x)(cos(2x))-1]dx+csc(2x)dy=0 when…

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Q: (3 şiny-5x) dx + 2x²cotydy = 0 hint: let 2 =sinu

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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: xcosydy + sin2ydy – dx = 0

A: First arrange it in the bernouilli equation then find its integrating factor. Then  use the formula…

Q: Solve the differential equation by variation of parameters. y" + y = sin2(x) y(x) =

A: The given differential equation is: y''+y=sin2x

Q: dy cos(x). + y sin(x) = sin²(x) cos(x) y³ dx

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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: Solve the given differential equation by separation of variables. csc(y) dx + sec²(x) dy = 0 s(x):…

A: To solve the given differential equation using separation of variables

Q: 6x2 dy dx'

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Q: Obtain the differential equation associated with the given non-derivative equation in x and y. y =…

A: Given that obtain the differential equation associated with the given non-derivative equation in x…

Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos ex y(x) =

A: Given differential equation is y''+3y'+2y=cos ex The auxiliary equation is…

Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(e*) y(x) =

A: Given differential equation: y''+3y'+2y=cosex               ...(1) Write the homogenous equation…

Q: y' + (2 tan x)y = cos³ x = COS" X

A: The correct answer is option (I) , i.e.  y = (cos²x)(c+sinx) The detailed solution is as follows…

Q: dy :-y = xy2 dx

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Q: Solve the differential equation Integrating Factor by Linear Equation: dy 1 dx x + y2

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Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) =

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Q: dy 6 cos(nx) dx

A: Given differential equation is  yy' = 6 cos(πx)

Q: Write the general form of Cauchy-Euler differential Equation. Solve the follow- ing differential…

A: General form of Cauchy-Euler Differential Equation. The differential equation…

Q: Solve the differential equation. 1 dy sec x 2 = ey+3 sin x dx

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Q: Solve the first order differential equation using any acceptable method. sin(x) dy/dx+(cos(x))y=0,…

A: We have given First Order Differential Equation,

Q: Determine the solution to the differential equation given by: y' + 2y = 4 cos x

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Q: dy_ y²sec² (-) tan (-) dx x2

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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: y'tanxsin2y = sin²x + cos²y

A: Assume t=cos2y then differentiate both side with respect to x to find dtdx .…

Q: siny dx + (x – sin? y)dy=D0

A: