I have the following equation:
$y=\frac{kv}{m\left(a-b\right)}\cdot\left(\frac{e^{-at}}{a^{2}}-\frac{e^{-bt}}{b^{2}}\right)$
$k$, $v$, $m$, $a$, and $b$ are all constants. t is time in seconds.
I would like to solve $t$ for a given $y$ value. ie. I would like to express the equation as:
$t = ...$
I tried Wolfram Alpha and Symbolab's equation solvers but they couldn't provide an answer. Is this a difficult one or practically impossible to solve?