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Black Book Advanced Problems in MathematicsMathematicsDifferential Equations

The differential equation whose general solution is given by y = C₁ (x+C₂) - C₃ e^ -x+C₄ + C₅ x , where C₁, C₂, , C₅ are constants is:

Options

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

Correct answer

C. d^3y dx^3 + d^2y dx^2 + dy dx + y = 0

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