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5. Use Laplace transform tables and properties of an Inverse Laplace transform to find the inverse Laplace of the following function: (3s^2-6s+11)/((s+1)(s^2-4s+5)) You must show all work including any work necessary to complete a partial fraction decomposition. (12 points) 6. Use the Laplace Method to solve the following initial value problem. You may use tables of Laplace transforms or tables of integrals as necessary. (12 points) y'-3y=2te^{3t}; y(0)=0

          5. Use Laplace transform tables and properties of an Inverse Laplace transform to find the inverse Laplace of the following function: (3s^2-6s+11)/((s+1)(s^2-4s+5))
You must show all work including any work necessary to complete a partial fraction decomposition. (12 points)

6. Use the Laplace Method to solve the following initial value problem. You may use tables of Laplace transforms or tables of integrals as necessary. (12 points)
y'-3y=2te^{3t}; y(0)=0

$5. Use Laplace transform tables and properties of an Inverse Laplace transform to find the inverse Laplace of the following function: (3s^2-6s+11)/((s+1)(s^2-4s+5)) You must show all work including any work necessary to complete a partial fraction decomposition. (12 points) 6. Use the Laplace Method to solve the following initial value problem. You may use tables of Laplace transforms or tables of integrals as necessary. (12 points) y'-3y=2te^3t; y(0)=0$

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