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AP EAMCET201724 Apr 2017Morning ShiftMathematicsDifferential EquationsActual

The differential equation corresponding to the family of circles given by (x-a)^2+(y-b)^2=4 , where a and b are parameters, is

Options

  1. A4 d^2 y d x^2 +9 y=0
  2. B4 ( d^2 y d x^2 )^2= [1+ ( d y d x )^2 ]^3
  3. C4 d^2 y d x^2 + ( d y d x )^2=6 y
  4. D4 ( d^2 y d x^2 )^2+ [1+ ( d y d x )^2 ]^2=0

Correct answer

B. 4 ( d^2 y d x^2 )^2= [1+ ( d y d x )^2 ]^3

Step-by-step solution

No solution. Refer to answer key.

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