Find the order and degree, if defined, o...

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`

Verified by Experts

The correct Answer is:

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.

Similar Questions

Explore conceptually related problems

Solve the following differential equation : x.(dy)/(dx) + y - x + xy cot x = 0, x != 0 .

Find the order and degree (if defined) of the differential equation ((d^(2)y)/(dx^(2)))+((dy)/(dx))^(2)+sin(dy/dx)+1=0

Determine order and degree (if defined) of differential equations ((d^(2)y)/(dx^(2)))^(2) + 2cos ((dy)/(dx)) = 0

Find the particular solution of the following differential equation : (dy)/(dx) - y = cos x for x = 0, y = 1.

Find the order and degree, if defined of the differential equation. (d^(2)y)/(dx^(2))^(3)+((dy)/(dx))^(2)+"sin"(dy)/(dx)+1=0 .

Find the order and degree, if defined of the differential equation, ((d^(2)y)/(dx^(2)))^(3) + ((dy)/(dx))^(2) - sin.(dy)/(dx) + 1 = 0 .

Find the order and degree of the differential equation ((d^(2) y )/( dx^2) )^(2) + cos ((dy)/( dx) ) =0

The order of the differential equation 2x^(2) (d^(2)y)/dx^(2) - 3 dy/dx + y =0 is

Solve y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))