Problem
1. Consider the function
(b) Plot them together with the graph of g(x) on the interval
[-1, 1].
Problem 2 Consider the function g(x) = for x between and repeated periodically.
(a) Compute and have Maple print the Fourier polynomials of degrees 5,7, and 11.
(b) Plot them together with the graph of g(x) on the interval [- , ] .
Problem 3. Consider the following ODE
(a) Find the general solution to the equation.
(b) Plot the slope field corresponding to the equation for x and y between -2 and 2.
(c) Solve the initial value problems
dy/dx = y x/(1 + x2) + y2 , y(1) = 2.