Elimination of Arbitrary Constants

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Properties

  • The order of differential equation is equal to the number of arbitrary constants in the given relation.
  • The differential equation is consistent with the relation.
  • The differential equation is free from arbitrary constants.

Example
Eliminate the arbitrary constants c1 and c2 from the relation   $y = c_1 e^{-3x} + c_2 e^{2x}$.
 

Solution

 

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