Obtain the differential equation of the family of curves as described. Draw some representative curves. Parabolas with axis parallel to the y-axis

Q: Find the differential equations of: 6. A family of circles passing through the origin and having…

A: Given:  To find the differential equation of:A family of circles passing through the origin and…

Q: Solve the differential equation with discussion of setet soluilon? X g -y = x yR lin (x) %3D

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Q: , find the differential equation for the following families of curves. 9. All circles.

A: The standard equation of the circle is: (x-h)2+(y-k)2=r2        ....(1) The center of the circle is…

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: Find the differential equations for each family of curves under the following conditions:…

A: Solution : We need to find out the differential equations for each family of circles whose center…

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

A: See the attachment

Q: Obtain the differential equation of the following

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Q: Find the differential equation of the family of cardioids r= a(1+cos 0).

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Q: Find the differential equations for each family of curves under the following conditions: c)…

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Q: a) Form a differential equation from the given function. y = Asin(2x)-5cos(2x)

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Q: find the differential equation of the family of curves: strophoids r= a(sec + tan theta) in…

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Q: 4. Which of the following represents the differential equation of the family of parabola having…

A: Follow the procedure given below.

Q: find the differential equation for the family of circles (x- A )*+ ly- B)' = A

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Q: Find the differential equation for the following families of curves. 1. All circles. 2. Horizontal…

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Q: Obtain the differential equation of the family of circles having their centers on the x-axis.…

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Q: Obtain the differential equation of the family of curves described and sketch some members of the…

A: We will find differential equation of the given condition.

Q: Obtain the differential equation of the family of plane curves described and sketch several…

A: we have to find fifferential equation offemily of plane curve straight line thatpassing through…

Q: Form a differential equation from the given function. y = Asin(2x)-5cos(2x)

A: Giveny=Asin(2x)-5cos(2x)   ----{1}

Q: Find the differential equation of the exponential curve y = A(33x) where A is an arbitrary constant.…

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Q: 2. Form the differential equation from the circle passing through the origin having their centers on…

A: This question is based on forming differential equation by eliminating constant.

Q: (4r + 5)2 2- + tanzy= dr COSI

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Q: Find the differential equation of the the following family of curves 1. Circles with center at the…

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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: obtain the differential equation of the family of curves described and sketch some members of the…

A: Recall that the order of a differential equation of a given relation is the number of arbitrary…

Q: Obtain the differential equation of the family of curves described and sketch some members of the…

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Q: Obtain the differential equation of the family of curves described and sketch some members of the…

A: Given that - Ellipses having its centers at the origin and transverse axis x.

Q: The differential equation regarding the family of curve y = e 500x 1S

A: This question is based on diffrential equation.

Q: 5. Circles with center on the y-axis

A: Equation of circle whose centre is on 0,a isx2+y-a2=r2---(1)Differentiating (1) w.r.t  x we…

Q: Find the differential equation of a family of circles, each having its center on the line y = x and…

A: Equation of circle

Q: Find the differential equations for each family of curves under the following conditions: a, b)…

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Q: Find a differential equation of the following family of curves whose solution is: 1. A family of…

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Q: Find the differential equation of a family of circles, each having its center on the line y=z and…

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Q: 4. Find the Differential Equation and Orthogonal Equation of the family of parabolas with vertex and…

A: Let the vertex lies at (a,0) and focus at (b,0) So the general equation of parabola having axis as…

Q: Find the differential equation described by the following family of curves. Ellipses having center…

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Q: Find the differential equation of the family of parabolas with vertex ar Focus on the x-axis * O y =…

A: We have to find

Q: Parabolas with vertex and focus on the y-axis opening upward.

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Q: Find the differential equation of a family of circles, each having its center on the line y = x and…

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Q: Find the differential equations of the families of all circles

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Q: Find the differential equation of the the following family of curves All straight lines at a unit…

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Q: Parabolas with axis parallel to the x-axis

A: Differential equation, parabola parallel to x-axis.

Q: Obtain the differential equation of the family of curves described and sketch some members of the…

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Q: paraller ines, the involves transforming the original DE into a homogeneous differential equation.

A: We will use concept of differential equation.

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

A: The given family of curves                    y=Acos12x+Bsin12x , where A and B are constants.

Q: Find the Differential Equation of the following family of curves

A: Differential equation formation

Q: Find the differential equations for each familyof curves under the following conditions: a)Straight…

A: We will find equations of line / curve as described and then use derivative to eliminate unknown…

Q: Find the differential equations for each family of curves under the following conditions: a)…

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Q: Obtain the differential equation of the family of plane curves described and sketch several…

A: Please refer to the image below

Q: Obtain the differential equation of the family of plane curves described and sketch several…

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Q: Find the corresponding differential equation for the following family of curves. 1. All Straight…

A: The general equation of the family of straight line is given by y=mx+b, where m and b are arbitrary…

Q: Obtain the differential equation of the family of curves described and sketch some members of the…

A: We will use the application of derivative in order to solve the given problem.