the equation y=(2e^(6x))-5 is a particular solution to which of the following differential eqations  y'-6y-30 = 0 2y'-12y+5=0 y''-5y'-6y=0 y''-2y'+y+5=0

Q: Obtain the differential equation of the family of circles with center at point (h,k) and radius r.…

A: The equation of the circle having a center (h, K) and radius and radius r is given by:…

Q: Obtain the Differential Equation from the family of lines whose slope is thrice the y- intercept.

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Q: The differential equation of a spring/mass system is x" +16x = 0. If the mass is initially released…

A: We have to find out the amplitude of vibrations of given equation

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

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Q: The Bernoulli's and ricatti's differential equations have their G.S solved by reducing these…

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Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

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

A: Please check step 2 for solution.

Q: Find the differential equation characterizing the family of curves desonbed : 1. Careles passing…

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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: 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 differential equation of all straight lines at 2- unit distance from the origin.

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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: differential equation of the family of circles whose center is on the line y = 3x

A: Please refer to the image below

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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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: The differential equation corresponding to the family of curves y = Asin2x+ B cos 2x , where A and B…

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Q: Form the differential equation Por the curve y= 2sin (x + 3)

A: The order of the differential equation is the highest derivative present in the equation. The…

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 equation of the families of curved where, parabolas with vertex on the X-axis…

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Q: obtained in factored form a linear differential equation with real constant coeffiecients that…

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

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Q: Consider the differential equation y' 2x - (A) At the point (- 1, 0.5), the direction field has a…

A: Given , differential equation y'=-2x. a. We need to calculate the slope at point (-1,0.5) Slope…

Q: Find the differential equation of all family of straight lines at a fixed distance p from the…

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Q: Find the differential equation of the family of circles with center on x-axis.

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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: Suppose that a hare starts at the origin (0, 0) and runs with speed Vh along the y-axis toward a…

A: This question is from differential equation.

Q: In a city of a fixed population of " people , the rate of change (with respect to time t) of the…

A: Given Data: A city has a fixed population is P. Also given, the rate of change (with respect to time…

Q: A normal is drawn at a point P (x, y) of a curve, it meets the x-axis at Q. If PQ is of constant…

A: We will show that the given differential equation describing such curve is correct and will find the…

Q: Find a differential equation of the family of circles with center on the line y = -x, and passing…

A: Let, the equation of the family of circles with center         on the line y=-x & passing…

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: Find the differential equations having as solution; all tangent lines of parabola y2 = 4x .

A: Here, we have to find differential equation of all tangent planes of parabola

Q: Find the differential equation of a family of parabolas with axis parallel to the x-axis.

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

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 of all sphere of radius 5 having their centers in the xy planes

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Q: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

A: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

Q: A man is walking at a rate of 1.5 m/s toward a street light which is 5 m above the level ground. At…

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Q: y' +y Inx = 0

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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: After a correct transformation of variable, a homogeneous differential equation will be reduced to a…

A: We have to check given statement true or false

Q: Find the differential equation of the family of circles with fixed radius and tangent to the x axis.

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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: Find the differential equation of all family of circles with center at the line 3y - x = 0 with h…

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Q: Calculate the truncation error to solve the differential equation: Yi+1¬Yi = Xị → (*) Ax dy Instead…

A: Follow the following solutions to get the complete correct answer.

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.