Second-order equation for y(t) is given. (a) Plot its direction field in the yυ-plane,...

Second-order equation for y(t) is given.

(a) Plot its direction field in the yυ-plane, where υ= dy/dt.

(b) Using the guess-and-test method described in this section, find two nonzero solutions that are not multiples of one another.

(c) For each solution, plot both its solution curve in the yυ-plane and its y(t)- and υ (t) -graphs.