In: Advanced Math
Use the annihilator method to write the form of the particular solution but do not solve the differential equation
1. y”+y=e^(-x)+x^2
2. y”’+y=xe^(2x)cosx+sinx
Find the general solution
1. y”-2y’-8y=4e^(2x)-21e^(-3x)
Find the general solution of the given differential equation. Then find the solution that passes through the given initial solution
1. y”+6y+10y=3xe^(-3x)-2e^(3x)cosx, y(0)=1, y’(0)=-2