Question

Let m and n be respectively the degree and order of the differential equation of whose solution is y = cx + c² – 3c^(3/2) + 2 where c is parameter is____ 

(A) m = 1, n = 4 

(B) m = 1, n = 4 

(C) m = 2, n = 2 

(D) m = 4, n = 1

Answer 1

The correct option  (D) m = 4, n = 1  

Explanation:

y = cx + c² – 3c^(3/2) + 2 

Differential we get 

(dy/dx) = c 

∴ y = x ∙ (dy/dx) + (dy/dx)² – 3(dy/dx)^(3/2) + 2 

∴ order = 1 and degree = 4