Consider the differential equation % = fox) where f and g are both continuous functions for all t and x. Dene 35,; (t) as the solution to this differential equation with initial condition x(to) = a and define xb(t) as the solution to this differential equation with initial condition x(to) = b, where to, a and b are constants. Prove that if a 7E b then the graphs of 1:1' and xb never cross. That is, prove that there is no time t* such that xa(t*) = xb(t*)