Find the order and degree, if defined, of each of the following differential equations:
(i) `(dy)/(dx) - cos x = 0`
(ii) `xy (d^(2)y)/(dx^(2)) + x((dy)/(dx))^(2) - y (dy)/(dx) = 0`
(iii) `y''' + y^(2) + e^(y)' = 0`

Answer

Order is one, so its degree is one.
(ii) Order is two and degree is one.
(iii)Order is three and its degree is not defined.