In: Math
Solve the following constant coefficient linear differential equations using Laplace Transform (LT), Partial Fraction Expansion (PFE), and Inverse Laplace Transform (ILT). You must check answers in the t-domain using the initial conditions.
Note: Complex conjugate roots
y ̈ (t) + 6 ̇y (t) + 13y (t) = 2
use the initial conditions
y(0) = 3, ̇y(0) = 2.