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# Given the following differential equation.y''' + 9y'= e4t + sint1) Find the general solution of the corresponding homogeneousequation.2) Find a ...

## Question

###### Given the following differential equation.y''' + 9y'= e4t + sint1) Find the general solution of the corresponding homogeneousequation.2) Find a particular solution of the nonhomogeneous equation.Briefly define and describe the method that you use.3) Solve the nonhomogeneous equation.

Given the following differential equation. y''' + 9y'= e4t + sint 1) Find the general solution of the corresponding homogeneous equation. 2) Find a particular solution of the nonhomogeneous equation. Briefly define and describe the method that you use. 3) Solve the nonhomogeneous equation.

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