MathCastle
Differential EquationsMediumLaplace Transforms

Laplace Transforms · Medium problem

A circuit's transform is Y(s)=ks(s+5)Y(s) = \dfrac{k}{s(s+5)} for some constant kk. Use the Final Value Theorem to find the value of kk for which the circuit's steady-state value lim⁡t→∞y(t)\displaystyle\lim_{t\to\infty}y(t) equals 44.