IIT JAM Follow
May 21, 2020 10:24 am 30 pts
PLEASE EXPLAIN NOTE 2 can be written, on simpicauoi, aS Note 2 An arbitrary constant in the solution of a differential equation is said to be independent if it be impossible to deduce from the solution an equivalent relation which will contain fewer arbitrav constants. Thus the two arbitrary constants a and C in the solution y = aex* C are not independent as they are really equivalent to only one; for, y ae+c = aex. e = Aex, where A = aec is another constant. This A is independent Note 3In our above discussion, we have assumed that the conditions, which ensure the