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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

The differential equation satisfied by family of curves y = Ae^x + Be^ 3x + Ce^ 5x where A, B, C are arbitrary constants is:

Options

  1. Ad^3y dx^3 - 9 d^2y dx^2 + 23 dy dx + 15y = 0
  2. Bd^3y dx^3 + 9 d^2y dx^2 - 23 dy dx - 15y = 0
  3. Cd^3y dx^3 + 9 d^2y dx^2 - 23 dy dx + 15y = 0
  4. Dd^3y dx^3 - 9 d^2y dx^2 + 23 dy dx - 15y = 0 .

Correct answer

D. d^3y dx^3 - 9 d^2y dx^2 + 23 dy dx - 15y = 0 .

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