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(Solved): 2. The hyperbolic sine and cosine functions are defined as \\[ \\sinh (x)=\\frac{e^{x}-e^{-x}}{2}, ...



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2. The hyperbolic sine and cosine functions are defined as \\[ \\sinh (x)=\\frac{e^{x}-e^{-x}}{2}, \\cosh (x)=\\frac{e^{x}+e^{-x}}{2} \\] Identify which values of \\( k \\) make \\( \\sinh (k x) \\) a solution to \\[ y^{\\prime \\prime}-9 y=0 \\]


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we have the differential equation

  
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