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
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