For each of the following first-order differential equations, sketch the direction of motion on the real line, find all equilibrium points, state whether each is stable or unstable, and make a rough sketch of the solution x(t) as a function of time t for various initial conditions: a) x = x + x b)x=1+2sinx c)x=1+0.5cosxd) x=x3. Do any of these models exhibit finite escape time?