Solve the following differential equation problems: (a) d.x dt dx (b) + 2tx=(t)e, x(0) = 1 dt

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Solve the following differential equation problems:

(a) d.x dt dx (b) + 2tx=(t)e, x(0) = 1 dt (d) -2x = 1, x(0) = 2 dx (c) + 3x = e, x(0) = 2 dt d.x dt + x sint

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