Let y = (x) and dy/dx = 3 + 2y , with y(0) = 0. Construct a table for x i and y i like

Let y = ƒ(x) and dy/dx = 3 + 2y , with y(0) = 0. Construct a table for x_i and y_i like the one in Section 10.3, Example 2, for [0, 1], with h = 0.2. Then graph the polygonal approximation of the graph of y = ƒ(x).

Section 10.3, Example 2

Use Euler’s method to solve dy/dx = 3y + (1/2)^ex, with y(0) = 5, for [0, 1], using 10 subintervals.