(a) Write down the exact solution to the initial value problem du/dt = 2/7u, u(0) = 1/3.
(b) Suppose you make the approximation u(0) = .3333. At what point does your solution differ from the true solution by 1 unit? by 1000?
(c) Answer the same question if you also approximate the coefficient in the differential equation by
du/dt = .2857 u.