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MHT CET202210 Aug 2022Morning ShiftMathematicsDifferential EquationsActual

The order and degree of a differential equation obtained by eliminating arbitrary constant C from the family of curves y^2=2 C(x+ C ) are respectively

Options

  1. A1,3
  2. B1,4
  3. C1,1
  4. D1,2

Correct answer

A. 1,3

Step-by-step solution

from (i) and (ii) aligned & y^2=2 y d y ~d x (x+ y d y ~d x ) & y-2 x d y ~d x =2 d y ~d x y d y ~d x & (y-2 x d y ~d x )^2=4 y ( d y ~d x )^3 order =1, degree =3 aligned

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