Give the general solution of the following differential equations. In each case state how many arbitrary constants you expect to find in the general solution. Are your expectations confirmed in practice?

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(a) dx dt (e) dx (c) =e4 dz = 41 dx dt 2 1/1/3+ + sin 5t (b) (d) (f) dx dt dx dt dx dr -= t - 2t = -6x -= 8x