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Provide Solution for  R.D.Sharma maths class 12 Chapter 21 Differential Equations Exercise Revision Exercise Question 4 Maths textbook Solution.

Answers (1)

Answer:

                x\frac{dy}{dx}-y=0

Hint:

You must have the knowledge about the curves and make differential equation.

Given:

                y=mx

Where,m is an arbitrary constant

Solution:

            y=mx

            \frac{dy}{dx}=m

Substitutem=\frac{dy}{dx} iny=mx

\therefore            y=\frac{d y}{d x}(x) \\

            \frac{d y}{d x}=\frac{y}{x}

            \frac{d y}{d x}-\frac{y}{x}=0 \\

        x \frac{d y}{d x}-y=0which is the required equation

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