2) a) find a solution of the differential equation: df (xaf (x) 0 obeying the boundary condition f(xo) =a (hint: use one (and only one! ) exponential function as a trial function b) qualitatively sketch how re[f(x)] from (2.a) looks like for negative real a. make a similar graph for a imaginary, with im(oa) = a > 0 (assume that a, x, xo are positive real numbers). draw the sketches by hand, i. e. think for yourself, do not rely on your graphing calculator! also, mark the salient features of the graph, such as values at special points, etc. 2