Write order and degree (if defined)of differential equations: (d^3y/dx^3)+2(d^2y/dx^2)+(dy/dx)=0

Question

Write order and degree (if defined)of differential equations: 

\(\cfrac{d^3y}{dx^3}+2\cfrac{d^2y}{dx^2}+\cfrac{dy}{dx}=0\)

(d³y/dx³)+2(d²y/dx²)+(dy/dx)=0

Answer 1

The order of a differential equation is the order of the highest derivative involved in the equation. So the 

order comes out to be 3 as we have \(\cfrac{d^3y}{dx^3}\) and the degree is the highest power to which a derivative is raised. 

So the power at this order is 1. 

So the answer is 3, 1