Question

Write the degree of the differential equation.

(y")² + 3(y") + 3xy' + 5y = 0

Answer 1

This can be written as

`((d^3y)/dx^3)^2 + 3 (d^2y)/dx^2 + 3x dy/dx + 5y = 0`

This D.E. has highest order derivative `(d^3y)/dx^3` with power 2

The given D.E. has order 3 and degree 2.