Formation of Ordinary Differential Equations

Find the order and degree of the following differential equation:

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

Find the order and degree of the following differential equation:

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

Find the order and degree of the following differential equation:

`("d"^2y)/("d"x^2) = sqrt(y - ("d"y)/("d"x))`

Find the order and degree of the following differential equation:

`("d"^3y)/("d"x^3) = 0`

Find the order and degree of the following differential equation:

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

Find the order and degree of the following diff erential equation:

(2 – y”)² = y”² + 2y’

Find the order and degree of the following differential equation:

`(("d"y)/("d"x))^3 + y = x -  ("d"x)/("d"y)`

Find the differential equation of the following:

y = cx + c – c³