Form the differential equation representing the family of curves y = A cos 2x + B sin 2x…

Mathematics · JEE Main · NTA ExamsDifferential Equations

Form the differential equation representing the family of curves y = A cos 2x + B sin 2x, where A and B are constants.
  1. \(\frac{d^{2} y}{d x^{2}}+4 y=0\)
  2. \(\frac{d^{2} y}{d x^{2}}-4 y=0\)
  3. \(y \cdot \frac{d y}{d x}+4 x=0\)
  4. \(\frac{\mathrm{dy}}{\mathrm{dx}}+4 \mathrm{x}=0\)

Answer

(A) d^ 2 y d x^ 2 +4 y=0

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