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1. Consider the differential equation 43; + 41f + 17;.I = t), y([}) = ID, 3.3{0} = I}. (a) Solve the homogenous differential equation 43;

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1. Consider the differential equation 43;" + 41f + 17;.I = t), y([}) = ID, 3.3{0} = I}. (a) Solve the homogenous differential equation 43;" + 41f + 17;.I = 0. (b) ' Solve the differential equation 4y\" + 43f + 17y = t) using Laplace transformation. Leave solution in the form of a convoluted integral

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