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5. Consider the differential equation 1;(0 + 4915] + 3&0 = 9(0- (a) (8 points) Find two solutions to the associated homogeneous equation, and demon-

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5. Consider the differential equation 1;"(0 + 4915] + 3&0 = 9(0- (a) (8 points) Find two solutions to the associated homogeneous equation, and demon- strate the}r are a fundamental solution set. (b) (12 points) Solve the given system when 9(t) : (2+8t)et and the initial conditions are y(0) : [1; 16(0) : 0

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