Question

Find the minimum of the order and degree of the differential equation \( \left(x+\frac{d y}{d x}\right)^{3}=\left(1-\frac{d^{2} y}{d x^{2}}\right)^{2} \)

(a) 1

(b) 2

(c) 3

(d) not possible to determine

Answer 1

Order defines the maximum of amount of times a function has been differentiated. It doesnt depend upon of exponential power of the differential form. Here the order is 2 as the maximum time the function has been differentiated is two.