Question

For the following equations, determine its order, degree (if exists)

`("d"^2y)/("d"x^2) + 5 ("d"y)/("d"x) + int y "d"x = x^3`

Answer 1

Differentiating with respect to x, we get

`("d"^3y)/("d"x^3) + 5 ("d"^2y)/("d"x^2) + y` = 3x²

In this equation

The highest order derivative is `("d"^3y)/("d"x^3)` and its power is 1.

∴ Its order = 3 and degree = 1