Classify the following differential equation problems as under-determined, fully determined or over-determined, and solve them where possible:

(a) =t, x(0) = 1 dx dt (b) dx dt (d) d.x (c) = sin t, x(0) = 0, dt - t=0, x(0) = 0, x(1)=0, x(2) = 0 dx dt =e, x(0) = 0, dx dt dx (0) = 1 -(1) = 0 dt