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MHT CET20243 May 2024Morning ShiftMathematicsDifferential EquationsActual

The differential equation [ 1+ ( d y d x )^2 ( d^2 y d x^2 )^ 3 2 ]^2= k x is of

Options

  1. Aorder =2 , degree =3
  2. Border =3 , degree =2
  3. Corder =2 , degree =2
  4. Dorder =3 , degree =3

Correct answer

A. order =2 , degree =3

Step-by-step solution

aligned & [ 1+ ( d y ~d x )^2 ( ~d ^2 y ~d x^2 ) ]^ 3 2 = k x & : [ 1+ ( d y ~d x )^2 ( ~d ^2 y ~d x^2 ) ]^3=( kx )^2 & [1+ ( d y ~d x )^2 ]^3=( k x)^2 ( ~d ^2 y ~d x^2 )^3 & Order =2, Degree =3 aligned

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