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AP EAMCET202317 May 2023Evening ShiftMathematicsDifferential EquationsActual

The order and degree of the differential equation 3 x^2 d^2 y d x^2 - ( d^3 y d x^3 )+ (x y)=0 are

Options

  1. AOrder can't be defined and degree is 3
  2. BOrder is 3 and degree can't be defined
  3. COrder is 3 and degree is 1
  4. DOrder is 1 and degree is 3

Correct answer

B. Order is 3 and degree can't be defined

Step-by-step solution

3 x^2 d^2 y d x^2 - ( d^3 y d x^3 )+ (x y)=0 3 x^2 d^2 y d x^2 - [ d^3 y d x^3 - 1 3 ! ( d^3 y d x^3 )^3+ 1 5 ! ( d^3 y d x^3 )^5 ]+ (x y)=0 So, the order of the above differntial equation is 3 . But degree is undefined.

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