(b) Use the central difference approximation (5) to show that y1 y1 2h. Use this
Chapter 6, Problem 14(choose chapter or problem)
Consider the boundary-value problem y’’=y- sin(xy), y(0)=1, y(1)=1.5. Use the shooting method to approximate the solution of this problem. (The actual approximation can be obtained using a numerical technique, say, the fourth-order Runge–Kutta method with h=0.1; even better, if you have access to a CAS, such as Mathematica or Maple, the NDSolve function can be used.)
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