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The order of the differential equation of the family of curves y = a 3 b x + c + d s i n x + e is (where, a ,   b ,   c ,   d ,   e are arbitrary constants)

Options

  1. A5
  2. B4
  3. C3
  4. D2

Correct answer

B. 4

Step-by-step solution

We can re-write the equation of the curve as y = a ⋅ 3 c ⋅ 3 b x + d s i n x + e or y = k ⋅ 3 b x + d s i n x + e (where, k is an arbitrary constant) As there are ‘ 4 ’ such constants, hence the order of the differential equation will be ‘ 4 ’

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