Find the general solutions of the following differential equations: (a) (b) (d) dx dt (i) dx dz

Find the general solutions of the following differential equations:

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(a) (b) (d) dx dt (i) dx dz d.x dx (c) 2- +4- dt dt dx (e) 16- dt (j) (k) (h) 3dx dt dx dx + dt dt dx dt dx dt dx dt dx dt dx dr dx dt dx 12- + 4x = e-r dt + 4x = cos 4t - 2 sin 4t d.x + 8 + x = t + 6 dt + 4x = 5t - 7 dx 8 + 16x = -3 sin 3t dt dx +2= dt d.x 4 +7x=e-5t dt - d.x + 3x = 1 + e-1 dr 7x = 7 cos 2t 4. -- d.x dt + 16x = 1 + 2 sin 4t 3x = 5e-31 + sin 2t = 7-3e4t