Answer: Use the Nonlinear Shooting method with TOL = 104 to approximate the solution to

Chapter 11, Problem 3

(choose chapter or problem)

Use the Nonlinear Shooting method with TOL = 104 to approximate the solution to the following boundary-value problems. The actual solution is given for comparison to your results. a. y = e2y , 1 x 2, y(1) = 0, y(2) = ln 2; use N = 10; actual solution y(x) = ln x. b. y = y cos x y ln y, 0 x 2 , y(0) = 1, y 2 = e; use N = 10; actual solution y(x) = esin x . c. y = 2(y )3 + y2y sec x, 4 x 3 , y 4 = 21/4, y 3 = 1 2 4 12; use N = 5; actual solution y(x) = sin x. d. y = 1 2 1 (y )2 y sin x , 0 x , y(0) = 2, y( ) = 2; use N = 20; actual solution y(x) = 2 + sin x.