(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that if a and [tex]\lambda[/tex] are positive constants, and b is any real number, then every solution of the equation dx/dt + ax = b*exp(-[tex]\lambda[/tex]*t) has the property that x(t) --> 0 as t --> [tex]\infty[/tex]

3. The attempt at a solution

i tried considering the cases where a = [tex]\lambda[/tex] and a [tex]\neq[/tex] [tex]\lambda[/tex] but kept getting stuck... any suggestions?

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# Homework Help: First Order Differential Problem

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