Question

Find the order and degree of the differential equation `(1 + 3 dy/dx)^(2/3) = 4((d^3y)/(dx^3))`.

Answer 1

`(1 + (3dy)/dx)^(2/3) = 4((d^3y)/(dx^3))`

Cubing both sides

`(1 + (3dy)/dx)^2 = 64((d^3y)/(dx^3))^3`

∴ Order = 3,

Degree = 3