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Use variation of parameters to find a general solution to the differential equation given two linearly independent solutions to the corresponding homogeneous equation ty +
Use variation of parameters to find a general solution to the differential equation given two linearly independent solutions to the corresponding homogeneous equation ty" + (5t - 1) y' - 5y = 9the-5t , y1 = 5t - 1, yz = e-at O ya (t) = ci (5t - 1) + cze-at + te 9 42-5t 10 O ya (t) = 1 (5t - 1) + cze 9 the-5t 10 O ya (t) = ci (5t - 1) + cge-5t te -5t+ 942-5t O ya (t) = ci (5t - 1) + cge-5t te it O ya (t) = ci (5t - 1) + cze at te 5t + . 11 42 -5t
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