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NDA2019MathematicsDifferentiationActual

If y=a 2 x+b 2 x , then

Options

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

Correct answer

D. d^2 y d x^2 +4 y=0

Step-by-step solution

y=a 2 x+b 2 x aligned & d y d x =-2 a 2 x+2 b 2 x & d^2 y d x^2 =-4 a 2 x-4 b 2 x & d^2 y d x^2 =-4(a 2 x+b 2 x) aligned aligned & d^2 y d x^2 =-4 y & d^2 y d x^2 +4 y=0 aligned

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