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MHT CET202121 Sep 2021Evening ShiftMathematicsDifferential EquationsActual

If m is order and n is degree of the differential equation ( d^2 y d x^2 )^5+4 ( d^2 y d x^2 ) ( d^3 y d x^3 ) + ( d^3 y d x^3 )=x^2-1 , then

Options

  1. Am=3, n=1
  2. Bm=3, n=2
  3. Cm=3, n=3
  4. Dm=3, n=5

Correct answer

B. m=3, n=2

Step-by-step solution

aligned & We have ( d^2 y d x^2 )^5+ 4 ( d^2 y d x^2 ) ( d^3 y d x^3 ) + ( d^3 y d x^3 )=x^2-1 & ( d^3 y d x^3 ) ( d^2 y d x^2 )^5+4 ( d^2 y d x^2 ) ( d^3 y d x^3 )^2= (x^2-1 ) ( d^3 y d x^3 ) & order =3 , degree =2 aligned

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