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AP EAMCET20227 Jul 2022Evening ShiftMathematicsDifferential EquationsActual

If a and b are respectively the order and degree of a differential equation y^2 (y^ )^2+3 x (y^ )^ 1 / 3 +x^2 y^2= x , then

Options

  1. Ab=a
  2. Ba=3 b
  3. Cb=3 a
  4. Da b=6

Correct answer

C. b=3 a

Step-by-step solution

aligned & (c) y^2 (y^ )^2+3 x(y)^ 1 / 3 +x^2 y^2= x & (y^2 (y^ )^2+x^2 y^2- x )^3=27 x^3 (y^ ) & Order =a=2, Degree =b=6 & b=3 a aligned

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