Write the order and degree of each of the following differential equations: i. d^3y/dx^3+2(d^2y/dx^2)-dy/dx + y = 0

Question

Write the order and degree of each of the following differential equations:

i. \(\frac{d^3y}{dx^3}+2(\frac{d^2y}{dx^2})-\frac{dy}{dx} + y =0\) 

ii. \((\frac{d^2y}{dx^2})^2+x^2(\frac{dy}{dx})^3=0\)

Answer 1

i. Order = 3, degree = 1

ii. Order = 2, degree = 2

Answer 2

i) order is 3 and degree is 1

ii) order is 2 and degree is 2