Question

What is the number of arbitrary constants in the general solution and particular solution of differential equation of fourth and third order respectively ?

Answer 1

Since, the number of arbitrary constant in the general solution and particular solution of n^th order differential equation are n and 0, respectively. 

Therefore, the number of arbitrary constant in the general solution and particular solution of fourth order and third order differential equation are 4, 0 and 3, 0, respectively.