Question

Obtain the differential equation by eliminating the arbitrary constant from the equation y² = 4ax.

Answer 1

Given: y² = 4ax   ...(1)

Differentiating w.r.t. x, we get

`2y (dy)/(dx) = 4a`

Substituting the value of 4a in (1), we get

`y^2 = (2y (dy)/(dx)) x`

∴ `2x (dy)/(dx) - y = 0`

This is the required differential equation.