Question

Family y = Ax + A³ of curves will correspond to a differential equation of order ______.

Options

• 3

• 2

• 1

• Not defined

Answer 1

Family y = Ax + A³ of curves will correspond to a differential equation of order 2.

Explanation:

The given equation is y = Ax + A³

Differentiating both sides, we get `("d"y)/("d"x)` = A

Again differentiating both sides,

We have `("d"^2y)/("d"x^2)` = 0

So the order of the differential equation is 2.