Write order and degree (if defined)of each of the following differential equations: (dy/dx)^4+3y(d^2y/dx^2)=0

Question

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

\(\left(\cfrac{dy}{dx}\right)^4+3y\left(\cfrac{d^2y}{dx^2}\right)=0\)

(dy/dx)⁴+3y(d²y/dx²)=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 2 as we have \(\cfrac{d^2y}{dx^2}\) 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 2, 1.