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NDA2017MathematicsDifferential EquationsActual

The differential equation of minimum order by eliminating the arbitrat constants A and C in the equatic y = A [ ( x + C )+ ( x + C )] is

Options

  1. Ay^ +( x+ x) y^ =1
  2. By^ =( x+ x) y^
  3. Cy^ = (y^ )^2+ x x
  4. Dy^ +y=0

Correct answer

D. y^ +y=0

Step-by-step solution

aligned & y = A [ ( x + c )+ ( x + c )] & y ^ = A [ ( x + c )- ( x + c )] & y ^ =- A [ ( x + c )+ ( x + c )] & =- y & y ^ + y =0 aligned

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