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MHT CET202415 May 2024Evening ShiftMathematicsDifferential EquationsActual

The order of the differential equation, whose solution is y= (C₁+C₂ ) e ^x+C₃ e ^ x+C₄ , is

Options

  1. A4
  2. B1
  3. C3
  4. D2

Correct answer

B. 1

Step-by-step solution

aligned y & = (C₁+C₂ ) e ^x+ C ₃ e ^ x+ C ₄ & = Ae ^x+ Be ^x , where A = C ₁+ C ₂ and B = C ₃ e ^ C ₄ & =( A + B ) e ^x & = De ^x, where D = A + B aligned This equation consist of one arbitrary constant.

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