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NDA2021MathematicsDifferential EquationsActual

If the general solution of a differential equation is y^2+2 c y-c x+c^2=0 , where c is an arbitrary constant, then what is the order of the differential equation?

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

y^2+2 c y-c x+c^2=0 aligned & 2 y d y d x +2 c d y d x -c=0 & 2 ( d y d x )^2+2 y d^2 y d x^2 +2 c d^2 y d x^2 =0 aligned (y+c) d^2 y d x^2 +2 d y d x

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