(y sec² x + e' cos x – xe' sin x) dx + (xe' cos x + tan x) dy = 0

Q: An Integration factor of this differential equation is .7 3x? + 1 + x3 dy 1 y : 1+ x2 dx

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Q: Find the differential equation corresponding to y=a cos (logx) +b sin(logx) or y=A sin (logx)…

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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: 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…

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

A: Solve the above questions

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: 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: ta 2nd order differential equation whose general solution is y = cie" cos (4r)+cze¯1# sin (4r).

A: This problem is based on the topic of formation of differential equation by eliminating the…

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: y using an integrating factor, find the general solution of the differential equation dy/dx…

A: Given differential equation :                          dydx-ytanx=sinx

Q: dy de + 2xy = 2xe-x².

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Q: Use integration to find a general solution of the differential equation               dy / dx = 12x2

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Q: %3D siny(x + siny)dx + 2x²cosydy = 0

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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: Obtain the differential equation by eliminating a and b from the rdation y=a cos 4x +b sin 4x

A: Given equation is y=a cos4x + b sin4x find out the DE by eliminating a and b

Q: Solve the differential equation defined by x dy/dx −2y = x^6 sinx.

A: Consider the provided differential equation,

Q: Find the differential equation of all circles with radius 1 and centers on the line y = x.

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

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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: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate.…

Q: By climinating the arbitrary constants, form the differential equation in the fotowng cases: 1- y2 A…

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Q: Determine the equation of the curve passing through the origin in the from y = f(x) which satisfies…

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Q: Determine the general solution for each given higher order differential equation or particular…

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Q: Find the general solution of the differential equation = 6 tan(5y) using separation of variables. dx…

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Q: Find the differential equation of the family of cuves and draw at least three members of the family…

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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: 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: -ka dt2 Sdlve the differential equation and express the X func tion of trieonometrie func tion as

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

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Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: al csc x y cotx

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

Q: Find the differential equation corresponding to y=a cos(logx) +b sin (logx) where a and b are…

A: For a given solution having N constants , we have to differentiate the given solution for N times to…

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

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

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

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Q: Find the Differential Equation of (sin2x-2ycosx)dx=2dy

A: First we compare given differential equation with dy/dx+Py=Q and find integration factor using…

Q: Solve the differential equation by variation of parameters. y" + y = sec(8) tan(0) y(8) =

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

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Q: ry' – y = x²e=z

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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: Solve the given differential equation by separation of variables. ds dr = KS

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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: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

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

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Q: y' + y = 5 sin(2x)

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