MathCastle
Differential EquationsMediumLaplace Transforms

Laplace Transforms · Medium problem

A circuit's voltage has Laplace transform Y(s)=5s+10s(s+2)(s+5)Y(s) = \dfrac{5s+10}{s(s+2)(s+5)}. Without finding y(t)y(t) explicitly, use the Final Value Theorem to find the steady-state voltage lim⁡t→∞y(t)\displaystyle\lim_{t\to\infty}y(t).