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AP EAMCET202422 May 2024Morning ShiftMathematicsDifferential EquationsActual

The sum of the order and degree of the differential equation x ( d^2 y d x^2 )^ 1 2 = (1+ d y d x )^ 4 3 is

Options

  1. A5
  2. B8
  3. C12
  4. D10

Correct answer

A. 5

Step-by-step solution

x ( d^2 y d x^2 )^ 1 / 2 = (1+ d y d x )^ 4 / 3 Squaring both sides x^2 ( d^2 y d x^2 )= (1+ d y d x )^ 8 / 3 Cubing both sides x^6 ( d^2 y d x^2 )^3= (1+ d y d x )^8 So, degree =3 , order =2 Sum =3+2=5 .

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