Hello,
I have the following question :
If \(\displaystyle x = x(t)\) and \(\displaystyle y = y(t)\) satisfy the equation :
\(\displaystyle (x^c * e^{-dx}) (y^a *e^{-by}) = k\),
where \(\displaystyle k, a, b, c, d \) are positive constants.
Show that neither \(\displaystyle x(t) \) nor \(\displaystyle y(t) \) can \(\displaystyle \to \infty\) as \(\displaystyle t \to \infty \).
I have the following question :
If \(\displaystyle x = x(t)\) and \(\displaystyle y = y(t)\) satisfy the equation :
\(\displaystyle (x^c * e^{-dx}) (y^a *e^{-by}) = k\),
where \(\displaystyle k, a, b, c, d \) are positive constants.
Show that neither \(\displaystyle x(t) \) nor \(\displaystyle y(t) \) can \(\displaystyle \to \infty\) as \(\displaystyle t \to \infty \).
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