Question

For each of the differential equation given below, indicate its order and degree(if defined).
(i)$\frac{d^2 y}{dx^2} +5x\biggr\lgroup \frac{dy}{dx} \biggr\rgroup ^2 -6y= log\ x$
(ii)$\biggr\lgroup\frac{dy}{dx}\biggr\rgroup ^3 -4\biggr\lgroup \frac{dy}{dx} \biggr\rgroup ^2 +7y= sin\ x$
(iii)$\frac{d^4 y}{dx^4} -sin\biggr\lgroup \frac{d^3 y}{dx^3} \biggr\rgroup =0$

Answer 1

i) Order = 2

Degree = 1

ii) Order = 1

Degree =

iii) Order = 4

Degree = not defined

Hope it helpss :)