order = 2, degree not defined, because the function dy/dx present in angle of cosine function.

Order = 2 , degree = 1 .Since the highest derivative term is and its power is 1

Order = 3.Since the third derivative is the highest derivative present in the equation. i.e.

Function y = f(x) is said to satisfy a differential equation g (y, y’, y’’...) =h(x) if y and its derivatives substituted in equation g (y, y’, y’’...) =h(x) yield L.H.S. = R.H.S.

A function is homogenous if we can write in the form of where n is an whole number .

The general solution of differential equation contains arbitrary constants equal to the order of differential equaition.

Particular solution of a given differential equation does not contain arbitrary constants i.e. a,b ,c etc since the value of those arbitrary can be found out by subsituting the given values.

4 , because the no. of arbitrary constants is equal to order of the differential equation.

0 , because the particular solution is free from arbitrary constants.