Let $y=y(t)$ be a solution of the differential equation $\frac{d y}{d t}+a y=c e^{-b t}$ where $a0,

Question

Let $y=y(t)$ be a solution of the differential equation $\frac{d y}{d t}+a y=c e^{-b t}$ where $a>0, b>0$ and $c>0$. Then $\lim _{t \rightarrow \infty} y(t)$

Professor PC Thomas Classes · Answer

Evaluating limit states traces fundamental exponential suppression verifying limits systematically mapping vanishing coefficients.