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AP EAMCET202316 May 2023Morning ShiftMathematicsDifferential EquationsActual

a, b, c, d are arbitrary constants. Then the corresponding differential equation to y=a c^x+b e^ -x +c x+d x is

Options

  1. Ay ^ (4) = y
  2. By^ (4) +y=0
  3. Cy^ (4) -y^ (2) +1=0
  4. Dy^ (4) +2 y^ (2) +1=0

Correct answer

A. y ^ (4) = y

Step-by-step solution

y=a e^x+b e^ -x +c x+d x aligned & y^ =a e^x-b e^ -x -c x+d x & y^ =a e^x+b e^ -x -c x-d x & y^ =a e^x-b e^ -x +c x-d x & y^4=a e^x+b e^ -x +c x+d x & y^4=y . aligned

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