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(iii) Use Laplace transforms to solve the differential equation ty (t)+(2t)y' (t) y(t) = 0, subject to y(0) = 2 and y'(0) = 1.

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(iii) Use Laplace transforms to solve the differential equation ty" (t)+(2t)y' (t) y(t) = 0, subject to y(0) = 2 and y'(0) = 1.

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