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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Differential Equations

NDA 2012 · Mathematics · Differential Equations

The differential equation representing the family of curves y=a (λ...

The differential equation representing the family of curves y=asin⁡(λx+α)y=a \sin (\lambda x+\alpha) is :

Options

  1. Ad2ydx2+λ2y=0\frac{d^2 y}{d x^2}+\lambda^2 y=0
  2. Bd2ydx2−λ2y=0\frac{d^2 y}{d x^2}-\lambda^2 y=0
  3. Cd2ydx2+λy=0\frac{d^2 y}{d x^2}+\lambda y=0
  4. DNone of the above

Correct answer

A. d2ydx2+λ2y=0\frac{d^2 y}{d x^2}+\lambda^2 y=0

Step-by-step solution

The correct answer is option A.
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