Find the general solution of the differential equation: 'y'+4 y = x y^(7/2)`. Use lower case 'c for the constant in answer.

Q: Find the general solution for differential equation.

A: Use linear differential method to solve

Q: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

A: We have to eliminate arbitrary constant a and b by differenciation

Q: dy +x =

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Q: The number of internet users in a country increases at a rate that is jointly proportional to the…

A: Let number of people having personal computer be C(constant), number of people having internet be N.…

Q: y' = y²-y ху?-у

A: The given differential equation is  y'=xy2-yx     It can be re-written as…

Q: Find the solution to Integro-Differential Equation.

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Q: Find the product solutions for the differential equation a²uxx = -u¿ using separation of variable…

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Q: Find the solution of the differential equation using Variation of Parameters. у" - Зу" + 3у' et

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find the differential equation by rlimaniting the arbitary constants from

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Q: What is correct form of the particular solution associated with the differential equationy"=8?

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Q: (3nny-5x)dx+ 2x*cotydy = 0

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Q: Form the differential equation by eliminating arbitary constant :y=ax3+bx2

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Q: y" tuy=3(sct

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Q: An object of mass m falls from rest and its velocity v given by dv =mg - kv v(0) =0 dt -- where k is…

A: Consider the given equation. mdvdt=mg-kv Further, simplify and make for integration.…

Q: What is correct form of the particular solution associated with the differential equationy'''=8?

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Q: Write the differential equation satisfied by y = Cekt.

A: Given equation is              y=Cekt

Q: What is the appropriate method to find the general solution of this differential equation?

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Q: From the differential equation by elimaniting arbitary constant  y=ax3+bx2

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Q: obtain the differential equation of the family of straight lines passing through ( 0,1)

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Q: Form a differential equation from y = 3cx - 4, here c is the arbitrary constant.

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Q: differential equation is given as

A: In this question, the concept of the differential equation is applied. Differential equation A…

Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.

A: Equation of straight line: y=mx+c Where, m = slope  c = y-intercept

Q: Solve the differential equation using variation of parameters

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Q: Find the solution of the differential equation using Variation of Parameters.

A: Given differential equation is y'''-3y''+3y'=exx The solution of the differential equation using…

Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Determine the solution for the differential equation ry = In(x) %3D

A: By using variable Sepraible

Q: A falling object weighs 160 lbs. Beginning from the differential equation, find the object's…

A: Given,  a falling object weighs 160 lbs.

Q: Determine the differential equation of the family of lines passing through the origin. (SOLVE BY…

A: Lines passing through origin can be taken as Y=mX

Q: Find the general solution of the 2nd order Differential Equation using Variation of Parameters.

A: We will find the general solution of differential equation by using variation of parameters as shown…

Q: Obtain the differential equation of the family of straight lines passing through (0,-1).

A: To Obtain the differential equation of the family of straight lines passing through (0,-1).

Q: Solve using the undermined coefficient of differential equation

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Q: Find the solution of a given non-homogeneous differential equation using the variation of…

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Q: Solve the differential equation = by the method of separating the variables. %3D

A: Given : dydx = 13y2

Q: Find the differential equation having the solution as the equation representing all lines with slope…

A: Consider the family of straight lines with slope m and y-intercept c in slope-intercept form as,…

Q: Use separation of variables to find the general solution of the differential equation. (9 + x)y' =…

A: We have,

Q: What is the differential equation of the given 1 parameter family of solutions?

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Q: EQUATION

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Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential…

Q: If the family of curve has 3 arbitrary constants then the corresponding differential equation is

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Q: equation

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Q: Find the solution on the differential equation using suggested substitution.

A: The given differential equation is:yxtanx+lnydx+tanxdy=0We need to solve the above equation.

Q: Find the differential equation using elimination of arbitrary constants

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Q: Find the genprat Sotoution of the differential equation 3x+2 2y

A: By using the Separation of Variables Method.

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

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Q: Describe the separation-of-variables technique for obtainingthe solution to a differential equation.

A: To describe the separation of variable technique.

Q: 3. y"+ y= 2rsina

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

Q: Use separation of variables to find the general solution of the differential equation. (5 + x)y' =…

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Q: When is an equation considered as a solution of  differential equation?

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Q: .Determine the differential equation by eliminating arbitrary constants and also write the order

A: Given: y=c1x+c2x+x3-7x2+27x-60+60xex                                                 Equation 1 On…

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

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