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

Q: 7. Sketch some of the family of curves of the differential equation :

A: Given : The differential equation dydx=-y2x. To sketch : some of the  family of curves of the given…

Q: find the timear form of this differential equation

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Q: Give an example of a linear, nonseparable differential equation.

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Q: ५ = (+गुंग्ट

A: Given- dydx=1+y2ex To Find- The solution of the above differential equation.

Q: what is the Non-exact differential equation?

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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: Consider the differential equation.

A: Solution: The objective is to find r(t)

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

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Q: Find the differential equation characterizing the family of curves described tangents to ky = x^2

A: We need to find the differential equation characterizing the family of curves described tangents to…

Q: Find the differential equation (Family of Curves): Lines with slope equal to the negative reciprocal…

A: Please check step 2 for solution.

Q: 4. Obtain the Differential Equation from the family of curves of the form

A: We need to find the Differential Equation for the family of curves y=Cx for which we need to…

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

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

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

A: Given equation is              y=Cekt

Q: Find the differential equation of the family of curve Straight lines with slope half the value of…

A: solutionGivenstraight line y=mx+CAlso givenslope =m=dydxC= y interceptat x intercept, y=0Also given…

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

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Q: find the general equation of the differential equation

A: As per the honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: Give the differential equation of family of lines passing through (2,0)

A: Let the equation of  line be y= mx + c Now if the line pases through (2,0) then  0= 2m + c --> c=…

Q: Find a differential equation whose general solution is y = cie®t + cze¬,

A: The complimentary function of the differential equation if the root of the auxiliary equation are…

Q: Identify the differential equation that produces the slope field below. // ||// // 2.

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

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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: What is the differential equation of all parabolas with axis parallel to the y-axis?

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Q: True or False. Is this equation a linear differential equation of order one?

A: Given, Differentrial equation

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: Find the differential equations of the families of curves. 1.) Straight lines with slope and…

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Q: How can you tell that a differential equation is separable? Thatit is linear?

A: We can say differential equation separable  if it  can be written so that all terms in x and all…

Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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Q: Obtain the differential equation of the family of lines passing through (-1.1).

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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: Classify the differential equation 4 4 4 = 0

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Parabolas with axis parallel to the y-axis

A: Equation of parabola parallel to y-axis and having center(h,k) and having distance a from vertex to…

Q: Obtain the differential equation for the family of straight lines with x-intercept and y-intercept…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: Consider the differential equation

A: Given, the differential equation                                         y''+1xy'+y=0

Q: Find the differential equation of the parabolas with vertex on the x-axis and axis of symmetry is…

A:

Q: Obtain the differential equation of the 5. Family of straight lines with x- intercept and slope…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the differential equation using elimination of arbitrary constants

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Q: 2. Find the differential equation having the solution as the equation representing all lines with…

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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: Obtain the differential equation that describe the family of curves.

A: The general equation of the circle isx-h2+y-k2=r2where (h,k) is the center of the circle and r is…

Q: Find the seperable differential equation

A: A differential equation dydx=f(x,y) is said to be a separable equation if the given function fx,y…

Q: Write a differential equation showing the family of lines with slope and y-intercept equal

A: Equation of lines is y=mx +c ; where 'm' is the slope and 'c' is the y-intercept.

Q: arabolas with axis parallel to the y-axis

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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…