Question

Let m and n be the order and the degree of the differential equation whose solution is y = cx +c² − 3c^3/2 +2, where c is a parameter. Then 

(A) m = 1, n = 4 

(B) m = 1, n = 3 

(C) m = 1, n = 2 

(D) None

Answer 1

Answer is (A) m = 1, n = 4

Differentiating y w.r.t. x, we get

dy/dx = c

So, the differential equation is

Clearly, its order is 1 and degree is 4.