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MHT CET202019 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

The order and degree of the differential equation [1+ 1 ( d y d x )² ]^ 5 3 =5 d² y d x² are respectively

Options

  1. A2,3
  2. B3,2
  3. C5,2
  4. D2,5

Correct answer

A. 2,3

Step-by-step solution

(D) Raising both sides of differential equation to degree 3 , we get array l [1+ 1 ( d y d x )² ]⁵=125 ( d² y d x² )³ [ ( d y d x )²+1 ]⁵=125 ( d² y d x² )³ [ ( d y d x )² ]⁵ array Its order is 2 and degree is 3 .

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