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

Options

  1. A3 and 2
  2. B2 and 2
  3. C2 and 3
  4. D1 and 3

Correct answer

B. 2 and 2

Step-by-step solution

Degree of a differential equation is power of the highest order derivative. In the given differential equation, [1+ ( d y d x )^2 ]^3= ^2 [ d^2 y d x^2 ]^2 order =2 and degree =2 .

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