Use the annihilator method to write the form of the particularsolution but do not solve the differential equation
1. yâ€+y=e^(-x)+x^2
2. yâ€â€™+y=xe^(2x)cosx+sinx
Find the general solution
1. yâ€-2y’-8y=4e^(2x)-21e^(-3x)
Find the general solution of the given differential equation.Then find the solution that passes through the given initialsolution
1. yâ€+6y+10y=3xe^(-3x)-2e^(3x)cosx, y(0)=1, y’(0)=-2
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