Question

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

`sqrt(("d"y)/("d"x)) - 4 ("d"y)/("d"x) - 7x` = 0

Answer 1

`sqrt(("d"y)/("d"x)) = 4 ("d"y)/("d"x) + 7x`

On squaring both sides,

`("d"y)/("d"x) = 16(("d"y)/("d"x))^2 + 49x^2 + 56x ("d"y)/("d"x)`

clearly, it is a differential equation of order = 1 and degree = 2.