Transform the following initial-value problems into sets of first-order differential equations with appropriate initial conditions: dx (a)

Transform the following initial-value problems into sets of first-order differential equations with appropriate initial conditions:

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dx (a) + 6(x-t) - 4xt = 0, dr d.x dt (b) dx x(0) = 1, d (0)= 2 dt dx dt sin x(0) = 0, d.x dt + 4x = 0, d.x -(0) = 0 dt