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Use the annihilator method to write the form of the particular solution but do not solve...

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Advance Math

Use the annihilator method to write the form of the particularsolution 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 initialsolution

1. y”+6y+10y=3xe^(-3x)-2e^(3x)cosx, y(0)=1, y’(0)=-2

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