Julius Ho

2022-12-02

Consider the differential equation $\frac{dy}{dt}=ay-b$.
Find the equilibrium solution ${y}_{e}$

vihralV5x

Expert

The equilibrium solution ${y}_{e}$
is given by, $f\left({y}_{e}\right)=0\phantom{\rule{0ex}{0ex}}⇒a{y}_{e}-b=0\phantom{\rule{0ex}{0ex}}⇒{y}_{e}=\frac{b}{a}\phantom{\rule{0ex}{0ex}}{y}_{e}=\frac{b}{a}$

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