For the differential equation d^3y dx^3 + ( d^2y dx^2 ) = 0 , which of the following is true ?

Step-by-step solution

The given differential equation is d^3y dx^3 + ( d^2y dx^2 ) = 0 . The order of a differential equation is the order of the highest derivative appearing in it. The highest order derivative present is d^3y dx^3 , so the order is 3 . The degree of a differential equation is defined only when it can be expressed as a polynomial equation in its derivatives. Since the equation contains the term ( d^2y dx^2 ) , it cannot be expressed as a polynomial in terms of the derivatives. Therefore, the degree of the given differen