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AP EAMCET202421 May 2024Evening ShiftMathematicsDifferential EquationsActual

The differential equation formed by eliminating arbitrary constants A , B from the equation y=A 3 x+ B 3 x is

Options

  1. Ad^2 y d x^2 +y=0
  2. Bd^2 y d x^2 +9 y=0
  3. Cd^2 y d x^2 -9 y=0
  4. Dd^2 y d x^2 -y=0

Correct answer

B. d^2 y d x^2 +9 y=0

Step-by-step solution

aligned & y=A 3 x+B 3 x d y d x =-3 A 3 x+3 B 3 x & d^2 y d x^2 =-9 A 3 x-9 B 3 x=-9 y & d^2 y d x^2 +9 y=0 . aligned

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