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Q: Combining two e power expressions with different coeficients

John Van der BurgI am solving a nonlinear SDE. One of the steps includes finding an inverse $y^{-1}$ for the following (simplified) equation $y= ae^x + be^{-x} $ where a and b are different parameters. The RHS can be expressed as the sum of a $sinh$ and a $cosh$ function or as the sum of a $sinh$ and a $e^{-x}...

 

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