1 Consider the nonlinear shooting method with Newton's algorithm We are aiming to approximate the solution to the boundary value problem y y yy', 1 2, y(1) 1 2, y(2) 1 3, with h 0 5 and to 1 6 (a) Write down the system of first order IVP that we need to solve for each tk (b) Compute the value of y(2, to) (or (2, to)) with Euler's method that you introduced in (a) (You may round up the solution up to two decimal places ) (c) Compute t by using Newton's method to solve y(b,t) 3 0

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1. Consider the nonlinear shooting method with Newton's algorithm. We are aiming to approximate the solution to the boundary value problem y=y-yy', 1 <

1. Consider the nonlinear shooting method with Newton's algorithm. We are aiming to approximate the solution to the boundary value problem y"=y-yy', 1 <

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