Find the solution to the differential equation: cosxcos ydx + sin x sin ydy 0 a. cos x = C'siny O b. sin x = C'cosy c. siny = Ccosx d. cosy = C'sinx

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Q: Can we solve following differential equation by separable variable method dy y = eV+sinx secx %3D dx

A: Given differential equation is as follows : secxdydx=ey+sinx……1 Let Fx,y=dydx If Fx,y can be express…

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A: Here the given differential equation is in variable separable form. So here we can use variable…

Q: d) sin(x)y' + cos(x)y = tan(x)

A: We have to solve

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…

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Q: 9. From the differential equation sinh 2x, sketch some of the family of curves. %3D dx

A: Given differential equation, dydx=sinh(2x)dydx=e2x-e-2x2∫dy=∫e2x-e-2x2dxy=e2x+e-2x4+C

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

A: We have to find solution

Q: Linear Differential Equation (2y cos x + sin* x)dx = sin x dy when x =5 =7.y = 1

A: The solution for the above question is as shown below

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: y = 2xy -x

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

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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: find solution of this differential equation:  y′ tanx sin2y = sin^2 x + cos^2 y

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Q: y = C, x? sin 4x + C2x² Cos 4x

A: The equation is y = C1x2sin4x+C2x2cos4x

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

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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: Find the solution to the differential equation that satisfies the given condition. I am having…

A: Given differential equation can be written as Integrating both sides , we get

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 the differential equation (yexY+cosx)dx + xeXYdy=0 O Inxy+cosx O exy+cosx = 0 O exy+sinx = 0 O…

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Q: verify that the indicated function is an explicit solution of the given differential equation…

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Q: al csc x y cotx

A: We have to find the intregating factor of given differential equation.

Q: 3. ydx+(1+x)arctanx dy= 0

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Q: Prove first that sinx siny dx - cosx cosy dy =0 is an exact differential equation then determine its…

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) = c₁cos(x) +…

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Q: Find the differential equation having as solution of y = x sin(xtc) .

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Q: y = (xy - v)/x

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Q: Y = CI cos 3x + C2 sin 3X

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Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

A: Conversion of  differential equation into voltera integral equations

Q: Solve the differential equation by variation of parameters. y"+ y = sin(x) %3D x cos(x) y(x) =…

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Q: dy :-y = xy2 dx

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Q: Use variation of parameters to find the general solution of the following differential equation: y"…

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Q: Given the non-exact differential equation (ysin(x) + cos(x) )dx + (x+y)sin(x)dy = 0. Find the…

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Q: Find the differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .

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

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Q: (2х — 5у + 3)dxх — (2х + 4у — 6)dy %3D 0 - -

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Q: Find the differential equation corresponding to y=acos(logx) +b sin(logx)

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Q: (1+ cosx)y' = sinx(sinx + sinxcosx – y) |

A: 1+cosxy'=sinxsinx+sinx cosx-y On simplification, we get ⇒1+cosxy'=sin2x+sin2x…

Q: Transform into first order linear form the differential equation sin 0 dr 2rcos0 %3D OP

A: First order linear form of the differential equation is:  drdθ+P(θ)·r = Q(θ) hare P(θ), Q(θ) are…

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

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Q: Calculate the truncation error to solve the differential equation: Yi+1¬Yi = Xị → (*) Ax dy Instead…

A: Follow the following solutions to get the complete correct answer.

Q: iolve the given differential equation by undetermined coefficien y" + 4y = 2 sin(2x) (x) = ||

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