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MHT CET202211 Aug 2022Morning ShiftMathematicsDifferentiationActual

If y=e^ 4 x +2 e^ -x satisfies the equation d ^2 y ~d x^2 +A d y ~d x + By =o then values of and B are respectively

Options

  1. A3,4
  2. B-3,-4
  3. C4,3
  4. D-4,-3

Correct answer

B. -3,-4

Step-by-step solution

aligned & y=e^ 4 x +2 e^ -x & d y ~d x =4 e^ 4 x -2 e^ -x & d ^2 y ~d x^2 =16 e^ 4 x +2 e^ -x & d ^2 y ~d x^2 -3 d y ~d x -4 y=0 & A=-3 and B=-4 aligned

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