2. Form the differential equation from the circle passing through the origin having their centers on the y-axis is, x2 + y² +2fy = 0.

Q: Match the D.E. with a direction field: y' = t+y – 1, , y' = sin(t)sin(y), , y' = 2 – y, , y' = t(2 –…

A: NOTE: Horizontal axis is t-axis  .

Q: Find the differential equation of the family of hyperbolas having center at C(0, k), whose…

A: First write the standard equation of hyperbole having transverse axis parallel to y-axis and satisfy…

Q: find the differential equation of the family of ellipses having a center at (1, -2), major axis is…

A:

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

A:

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

A:

Q: Find the differential equation of the family of parabolas whose foci are located at (a, 0) with a…

A:

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: Form the differential equation of family of lines situated at a constant distance p from the origin.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Which is the differential equation of the family of parabolas with axis along the y-axis and with a…

A:

Q: ind the differential equation of all parabolas whose axis are parallel to the x-axis and have latus…

A: Since equation of parabola whose axis is parallel to the x-axis and have latus rectum a is…

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

A:

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: Obtain the Differential Equation of all circles passing through the origin and (0,8).

A:

Q: find the differential equation of a family of parabolas with an axis parallel to the x-axis

A: We have to choose the correct answer from the given option according to the given condition

Q: ta constant distance p from the origin. find the equation of the circle which touches both the axes…

A: All such lines are tangent to the circles of radius p                y=mx+p1+m2⟹   m=dydxBy…