Question

Determine the order and degree of the following differential equation:

`(d^2y)/(dx^2) + x((dy)/(dx)) + y` = 2 sin x

Answer 1

The given D.E. is `(d^2y)/(dx^2) + x((dy)/(dx)) + y` = 2 sin x

This differential equation has highest order derivative `(d^2y)/(dx^2)` with power 1.

∴ The given differential equation is of order 2 and degree 1.