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AP EAMCET202421 May 2024Morning ShiftMathematicsDifferential EquationsActual

If y=a^3 e^ b^2 x+c is the general solution of a differential equation, where a and c are arbitrary constants and b is a fixed constant, then the order of differential equation is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

y=a^3 e^ b^2 x+c d y d x =b^2 a^3 e^ b^2 x+c d y d x =b^2 y Hence, order is 1 .

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