Assignment:
Q1. Use Laplace Transforms to solve Differential Equation
y'' - 8y' + 20 y = t (e^t) , given that y(0) = 0 , y'(0) = 0
Q2. Use Laplace Transforms to solve Differential Equation
y''' + 2y'' - y' - 2y = Sin 3t , given that y(0)=0 , y'(0)=0 ,y''(0)=0, y'''(0)=1
Provide complete and step by step solution for the question and show calculations and use formulas.