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Provide Solution For  R.D.Sharma Maths Class 12 Chapter 21 Differential Equations Exercise Revision Exercise Question 6 Maths Textbook Solution.

Answers (1)

Answer:

                y^{2}-2xy{y}'=0

Hint:

You must know the equation of parabola

Given:

Family of parabola having vertex at origin and axis along positive direction of x-axis

Solution:

Since parabola has axis along positive x-axis , its equation is

                y^{2}=4ax                                                                                                                                            … (i)

Differentiate,

                2y\frac{dy}{dx}=4a

Putting value in (i)

             y^{2}=2y\frac{dy}{dx}\left ( x \right )

             y^{2}-2xy\frac{dy}{dx}=0which is the required differential equation

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