Obtain the differential equation of the family of curves, parabolas with vertex and focus on the y аxis. а. (х - у)у" - у'з — у'? — у' — 1 %3D0 b. (x - y) (y² + 1) = (x + yy')? с. ху" — у' 3D0 2 d rw" + rr'2 -0

Q: Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt…

A: The brine is entering more and going out less at rate (3 gal/min -2 gal/min = 1 gal/min), so…

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

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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 of the plane curves described 5. Family of straight lines with…

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Q: Find the Differential Equation of the following family of curves 4. Straight lines with slope half…

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

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Q: B. Find the differential equations of the families of curves. 5. Straight lines with slope 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: differential equation of the family of circles whose center is on the line y = 3x

A: Please refer to the image below

Q: 5. Obtain the Differential Equation from the family of vertical parabolas whose vertex is at (h,k).

A: Formation of the differential equation

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

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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: 2. Form the differential equation from the family of curves y² = Ax² – Bx² , where A and B are…

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Q: Find the differential equation of family of circles tangent to the x-axis.

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

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Q: Find the Differential Equation of the family of circles with center on the line y = x, and passing…

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Q: The tank in the figure contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

A: Given that, The tank contains 4000 L of water in which initially 50 kg of salt is dissolved. Brine…

Q: Find the differential equation of all circles passing through the origin and having their centers on…

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Q: 3. The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Here we will use two formula  1st Area of triangle  If two sides of a triangle has length a and b…

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

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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 of family of lines whose angle of inclination is 60 degrees.

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

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Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

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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: Parabolas with vertex on the y-axis, with axis parallel to the…

A: This is a differential equation problem

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…

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

A: See solution below

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: what is the differential equation of the family of parabolas that has a vertex along the line y =…

A: Given that Parabola that has a vertext along the line y=-2 , and distance from vertext to directrix…

Q: Find a differential equation of the family of cubics cy² = x² (x – a) with 'a' held fixed.

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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: Find the differential equation of all family of circles in which the center lies on the line y = -x…

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Q: Find the differential equation of Parabolas whose vertex is on the y-axis and whose focal distance…

A: We will find out the required differential equation.

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

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Q: 27. Obtain the differential equation having the solution as the equation representing all circles of…

A: The differential equation of all circles of radius 1 and centers on  y=x

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

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Q: Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt…

A: Given, Initially, the tank holds 300 gallons of water in which 50 pounds of salt have been…

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: arabolas with axis parallel to the y-axis

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Q: Obtain the differential equation of the family of parabolas with axis parallel to the x axis and…

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Q: find the differential equation of circles with center on the y-axis

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