Question

The order and degree of

$y = 1 + \frac{dy}{dx} + \frac{1}{2!}\left( \frac{dy}{dx} \right)^{2} + \frac{1}{3!}\left( \frac{dy}{dx} \right)^{3} + .......$is

• A. 1, 2
• B. 1, 1
• C. Order 1, degree not defined
• D. None of these

Answer 1

Answer: (B)

1, 1

Answer 2

The given differential equation can be re-written as

$y = e^{\frac{dy}{dx}}$⇒ $\ln y = \frac{dy}{dx}$

This is a polynomial in derivative. Hence order is 1 and degree 1.