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If $a$ and $b$ are arbitrary constants, then the solutions to the ordinary differential equation

                                                                $\dfrac{d^{2}y}{dx^2} – 4y = 0$

is

  1. $y = ax + b$
  2. $y = ae^{-x}$
  3. $y = a\sin2x + b\cos2x$
  4. $y = a\cosh2x + b\sinh2x$
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