The order and degree of the differential equation (y®)3 + (y"")+ + xyy' = 0 are respectively с. 3, 3 а. 5, 3 b. 3, 4 d. 5, 4

Q: 1. у" — 4у 3 2+ 3х — х2

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Q: The integrating factor of the differential equation as shown is e^(-y).

A: Given that: dxdy+x-y=0

Q: Find the general solution of the first-order linear differential equation. (Use x as your…

A: We can find the correct answer as below

Q: y' = y²-y ху?-у

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

Q: Form the differential equation for the function 2x-y-Dasin(2x-b)

A: See the attachment

Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: In y = C₁e* + C₂е¯x

A: Given problem:- Find its differential equation through eliminating arbitrary constants.    In(y) =…

Q: Suppose that y1 = e x and y2 = e −x are the solution of a homogenous linear differential…

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Q: The diffeterctial equation is y²dx+ 3xZy² dx + dy=0

A: In the given question we have to find the value of the constant c at the point (2,1) when we solve…

Q: Obtain the differential equation by eliminating all arbitrary constants

A: We need to eliminate constant B.

Q: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

Q: Find a linear differential equation with constant coefficients satisfied by e2x, e-x, e3x and e6x

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Q: Show complete solution Obtain the differential equation associated with y=Ae2x+Be2x+Ce3x

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Q: Find the Differential equation by eliminating the arbitrary constant from the given  y = Acos3x +…

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Q: Form the differential equation by eliminating arbitary constant  y=Ae-3x+Be2x

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Q: representing the family of circles through the fixed points (-c, 0) and (c, 0).

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Q: The linear Differential equation of any order if there is no constant term s present is known as?

A: We have given The linear Differential equation of any order if there is no constant term s present,…

Q: solve the for the general solution of the differential equation( linear homologous equation): y''-…

A: answer  Y = 9x22+ 3x detailed solution is given below

Q: Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of…

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Q: Show that the differential equation UTM dy -2 - ye rey - 2y dr is exact and find its solution.

A: Use the concept of exact differential equations.

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

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

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Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

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Q: Determine the particular solution of the differential equation yi+yie(x/y}=+2x²e(z/y}? When y(0) = 1

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Q: 1 y + 3 y + 2 y %3D 1+ et

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Q: 2. dx + 2x dy/y 2x2 y2 dy

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

A: Given:    mg = 2    s = 1.5 inches = 1.5/12 = 1/8 feet     g = 32

Q: The differential equation 4y"- siny y' + 3y = O is a linear equation. :Select one True False

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Q: Form the differential equation by eliminating arbitrary constants:y=ax3+bx2

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Q: equation

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Q: Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

A: The differential needs to convert in the standard form.

Q: Verify that the general condition satisfies the differential equation. Then find the solution that…

A: y''+9y=0 is the given DE with the general solution y=C1sin(3x)+C2cos(3x)...(1) To verify the general…

Q: State whether the given differential equation is linear or non-linear, ordinary or partial. Identify…

A: Consider the differential equation  y'+y=x2−2             ......(1)

Q: Solve the differential equations using method of undetermined coefficient y"+y = x^2sin(2x)

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Q: Form the differential equation by eliminating arbitary constant from y = cx+c-c3,(c)

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Q: From the differential equation by eliminating the arbitary constant A and B from the equation y = e*…

A: The objective is to form the differential equation by eliminating the arbitrary constant A and B…

Q: Sketch the slope field and some representative solution curves for the given differential equation.…

A: We are given the second order linear differential equation. y"=x+y. or  d2ydx2=x+y....(1) We need do…

Q: الموافق Find the general integra) of the differential equations with dottedf v ariables : ト 3) (++y)…

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Q: a. Obtain the differential equation of the family of straight line with the algebraic sum of the…

A: Write general equation first of given conditions.

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = aeª +…

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

A: We have to find the differential equation that models the system.

Q: Form the differential equation by eliminating constants a and b from y = a(b – x)(b+x) + 56.

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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: 2. y' + p(x)y = q(x)

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