3. We (a) (b) onsider the following initial value problem z = 10z, z(0) =4. Find the exact solution to this initial value problem. By hand or with a computer apply 10 steps of the explicit Euler method with a constant stepsize h = 0.2 on the interval [0, 2] and give the numerical approximation obtained at t; = 2. Is the numerical result obtained accurate? Same questions for h = 0.02 by applying 100 steps of the explicit Euler method this time. Find also the largest possible constant stepsize h such that the numerical approximations z,, obtained by the explicit Euler method satisfy |z,,|