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In this problem you will use variation of parameters to solve the nonhomogeneous equation y 6y' + 9y = 4e3t %3D | A. Write

 

In this problem you will use variation of parameters to solve the nonhomogeneous equation y" 6y' + 9y = 4e3t %3D | A. Write the characteristic equation for the associated homogeneous equation. (Use r for your variable.) B. Write the fundamental solutions for the associated homogeneous equation and their Wronskian. Y1 Y2 W (41, 2) %3D C. Compute the following integrals. Y19 dt W Y29 -dt W D. Write the general solution. (Use c1 and c2 for c, and c2). y = (Note: Your general solution will only be correct if it is a general solution to the differential equation.)

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