Solve the following using Dirac's Delta Function and partials fractions. 1. Find the Laplace Transform of the following. i.y" + у %3D6(t - 2п), у(0) 3 10, у'(0) %3D0 ii.y" – y = 108 (t -;) – 1008(t –...

Extracted text: Solve the following using Dirac's Delta Function and partials fractions. 1. Find the Laplace Transform of the following. i.y" + у %3D6(t - 2п), у(0) 3 10, у'(0) %3D0 ii.y" – y = 108 (t -;) – 1008(t – 1), y(0) = 10, y'(0) = 1 i. y" + 4y' + 5y = [1 – u(t – 10)]e* – e º8(t – 10), У (0) %3D 0, у'(0) %3D 1 %3D | %3D