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Rajat Jain posted an Question
May 21, 2020 • 15:54 pm 30 points
  • IIT JAM
  • Mathematics (MA)

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 deduc

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

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    Dhairya sharma Best Answer

    dear it means that if two constant are different means they do not have any relations.means they are independent to each other

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