Question

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

`(("d"^3y)/("d"x^3))^(2/3) - 3 ("d"^2y)/("d"x^2) + 5("d"y)/("d"x) + 4` = 0

Answer 1

Taking power 3 on both sides, we get

`(("d"^3y)/("d"x^3))^2 =( 3 ("d"^2y)/("d"x^2) - 5("d"y)/("d"x) - 4)^3`

In the equation (1)

The highest order derivative is `("d"^3y)/("d"x3` and its power is 2.

∴ Its order = 3 and degree = 2