3. Obtain the differential equation of the family of straight lines passing through (0.1). SAdd File

Q: 1. Solve the linear differential equation of y' – 2xy = = X. swer:

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Q: Select the differential equation that matches the given slope field. Is 1 141 O=-(2+1)*y? o -- 0--点

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Q: Which of the following is an exact differential equation?

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Q: - A first order Bernoulli's differential equation is in the form

A: To find first order bernoulli 's differential equation is in what form.

Q: .3) Find the solution of the folowing differential equation: in{z) +]

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Q: 3. Select the correct type for the following differential equation (10 Puan) (2xy + 3y²) – (2xy +…

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Q: 3. Find the differential equation associated to the equation: y = C₁x²e³* +C₁xe¹ +C₁e¹*

A: Note:- Since you asked multiple Questions ,As per our policy we can solve first question  for you…

Q: Obtain the differential equation of the following

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Q: Straight lines with slope half the value of the x-intercept

A: The equation of a line is defined as y=mx+b, where, m is the slope and b is the y-intercept.

Q: Let the ordinary differential equation of order 2: y'' − 2??' + 8? = 0

A: Solve above ordinary differential equations.

Q: Write down a differential equation of the form dt all other solutions diverge from y = 4 as t →∞.…

A: Let us consider a differential equation dydt=ay+b  such that the solution diverges as t→∞, y=C The…

Q: Which of the following is the differential equation of the family of Straight lines with slope and x…

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Q: 5. Find the differential equation of the family of straight lines with slope 1. с. у-1-0 d. y' +1=0…

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Q: i. Determine the general solution of the above differential equation.

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Q: 3. Show that the differential equation dx is homogenous. Zxy

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Q: Suppose that f(t) is a solution of the differential equationy′ = ty - 5 and the graph of f(t) passes…

A: Given, y'=ty-5 And f(t) is a solution of the differential equation. The graph of f(t) passes through…

Q: Suppose that in a certain company, the relationship between the price per unit p of its product and…

A: Given,  In a certain company, the relationship between the price per unit P and the weekly sale y,…

Q: 3. If the general solution to a second-order differential equation is given by cie + ce-5, find the…

A: In the question it is asked to solve the differential equations with initial values given.

Q: 5. Find the differential equation of the family of straight lines with slope 1. с. у -130 d. y' +1=0…

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Q: Prove that the given is a solution to the differential equation written oppose it.

A: We will prove the given statement.

Q: 2

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Q: The differential equation of the family of curves orthogonal to x² + y? = C² is

A: Solve the above questions.

Q: Obtain the differential equation associated with the primitive y = Ae3x + Be2x + Ce*.

A: Given differential equation is we have to obtain the differential equation associated with the…

Q: Write the differential equation for each of the curves determined by the given conditions.

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Q: Find the differential equation of the following families of curves: y2(b+x)=x2(3b-x)

A: Given y2(b+x) = x2(3b-x)                 (1) Differentiate equation (1) with respect to x , we get…

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?

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Q: 5. y = ce10x + cze¬9x + Cze8x

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Q: Find the gene ral Solution of the differential eqluation dy 2 2eyt3y² dae

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Q: 1. What is the integrating factor of the differential equation ydx – xdy = 0 using case 1?

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Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

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Q: Consider the following differential equation / = What is the general solution ?

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Q: d²x 7x + 3- dt2 dt 2- - t dx

A: 7x+3d2xdt2=2dtdx-t Multiplying both sides by dxdt , we get 7xdxdt+3d2xdt2dxdt=2-tdxdt              1

Q: 9. What is the particular solution of the linear differential equation ,3 Y = x° – 2xy; when x = 1,…

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Q: ;C, C2 and Cz åré årbi

A: y=c1e10x+c2e-9x+c3e8x; c1,c2,c3 are arbitrary constant.ddx(emx)=emxm+cIf we differentiate two times…

Q: Is the given Differential Equation a homogenous? If yes, what is the degree?

A: We know that a differential equation containing a homogenous function is called a homogenous…

Q: 3. Show that the differential equation zxy

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Q: 24. What does it mean to say that dV is an exact differential?

A: What do you mean by dV is an exact differential.

Q: Find the differential equation for the family of: 1. Cav.. HAIS 2. 3. Curves cy? = x²(x - a) in…

A: Differentiate given curve with respect to x.  And eliminate a.

Q: 3. Write the the differential equation by separating the variables. dy = 7x-2 dx

A: Given,          dydx=7x-2

Q: Show that y=x and yex are lenean inde pendent Solution of the Corres pondinp hamogeneous part ot the…

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Q: Show that: a) The price of the stock itself, that is when u(t, X1) = X1, solves the…

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Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y ae" + be-ª.

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 4te dt TOT

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Q: The roots of an auxiliary equation are m1=4, m2=m3=-5. What is the corresponding differential…

A: If the root of the auxiliary equation is m1=α and m2=β, then the corresponding differential equation…

Q: Determine the differential equation of the family of lines passing through the origin O ædx + ydy =…

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Q: Is the differential equation ????′′+?=? a Cauchy Euler equation? Explain.

A: Given question : Is the differential equation ????′′+?=?a Cauchy Euler equation? Explain.

Q: 5. In the differential equation 2rydx + (y² -xy-0. what is -- 心

A: Solution

Q: 4. The Bernoulli's form of the differential equation x²dy + (2xy-y³)dx=0 is

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