🌟 [ 44 ]   Laplace transforms are used to solve differential equations. The Laplace transform of f(t) is denot… [ @Numerade ]

Laplace transforms are used to solve differential equations. The Laplace transform of f(t) is denoted by L{f(t)} ; thus, L{e^3 t} is the Laplace transform of f(t)=e^3 t . It is known that L{e^k t}=1/s-k and L{e^-k t}=1/s+k . Then the inverse Laplace transform of g(s)=1/s-k is L^-1{1/s-k}=e^k t . Inverse Laplace transforms are linear: L^-1{f(t)+g(t)}=L^-1{f(t)}+L^-1{g(t)} Use partial fractions to find the inverse Laplace transform of 9+s/4-s^2 Watch the full video at: [ 🔗 Click ‼️ ] Never get lost on homework again. Numerade is a STEM learning website and app with the world’s largest STEM video library. Join today and access millions of expert-created videos, each one skillfully crafted to teach you how to solve tough problems step-by-step. Join Numerade today at: [ 🔗 Click ‼️ ]

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🌈 🔎 LaplacetransformsareusedtosolvedifferentialequationsTheLaplacetransformofftisdenot… 🌈