What is the differential equation of family of parabolas with vertex on the x – axis and axis parallel to the y – axis

Q: 4. Form the differential equation representing the family of hyperbola having the center at the…

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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 differential equation of the family of curves. 1. all circles with center located on the…

A: 1 st we need to get general equation of all circle whose center lie on the given line. Now use…

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

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

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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: Determine the differential equation of the family of circles with center on the y axis

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Q: Obtain the differential equation for the family of circles with center on the line x = 8.

A: The general equation for a circle can be written as

Q: Find the differential equations of the families of curves: Parabolas with vertex on the x-axis and…

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Q: 4. Find the differential equation of a family of parabolas with axis parallel to the x- axis.

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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: 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: Obtain the differential equation of the family of curves as described. Draw some representative…

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

A: Please refer to the image below

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

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Q: Find the differential equation of the family of parabola with vertex and focus on the x-axis

A: The given question is related with parabola. We have to find the differential equation of the family…

Q: 2. Find the differential equation of the family of circles having their center on the y-axis.

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Q: FInd the differential equation of the family of circle with center at the origin

A: We need to differentiate the given curve equation as Number of arbitrary constant present in…

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

A: The differential equation of the family of straight line with the algebraic sum of the intercept…

Q: Obtain the differential equation of the family of curves. 1. Circle with center at the origin.

A: The equation of a circle with center at (a , b) and radius r is given by (x-a)2+(y-b)2=r2 Hence…

Q: Find the differential equation of the family of cuves and draw at least three members of the family…

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Q: Obtain the differential equation having the solution as the equation representing all parabolas with…

A: The equation of parabola with vertex and focus on the x-axis is given by, y2=4ax…

Q: Find the differential equation of the family of cissoids: y^2 = x^3/ (a-x)

A: Perform the differentiation and eliminate the constant term in the differential equation to obtain…

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

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Q: Find the differential equation characterizing the family of curves described. a. Tangent to ky=x²

A: Tangent to the curve

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

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Q: Obtain the differential equation of the family of circle with center on the x-axis

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

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Q: Explain thesteps to obtain the general solution of a 2nd order homogenous One Differential Equation?…

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Q: Find the differential equation of the family of curves. 1. Family of lines where x-intercept is…

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Q: Family of parabolas having their vertices on the origin and focus on the y-axis.

A: given: the family of parabolas having their vertices on the origin and the focus on the y-axis.

Q: Find the differential equations of the families of curves: 1.)Circles with center on the y-axis.

A: solution is given below..

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

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Q: Obtain the differential equation of all circles with center on line y = -x and passing through the…

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

A: See solution below

Q: Find the differential equation of All parabolas whose axis is parallel to the y-axis. Draw at least…

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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: 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: Circles with center on the line y = x

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Q: Solve for the differential equation representing the family of parabola having its vertex at the…

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Q: Obtain the differential equation of the family of curves as described. Draw some representative…

A: Here first we write one parameter family of given curve and then we use differentiation to eliminate…

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: 2) Obtain the differential equation of parabolas with vitex and focus on the x-axis

A: To find: the differential equation of parabolas on the x- axis.

Q: 13. Obtain the differential equation of the family of straight lines at a fixed distance p from

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

A: To form a differential equation from given family of curves. Differentiate given family of curves…

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: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. 1. Parabolas with vertex and…

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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.