Question: Consider the second-order ODE y=y2+f(x). This ODE may be rewritten as: y=w and w=y2+f(x). (a) Write the Matlab codes (one script file and two function

Consider the second-order ODE y=y2+f(x). This ODE may be rewritten as: y=w and w=y2+f(x). (a) Write the Matlab codes (one script file and two function files) to solve the above ODE numerically for f(x)=22cos(2x)sin4(x) with y(0)=0 and y(1)=0 using the Matlab solver bvp 4c. [10 marks] (b) In your script file, include the Matlab command(s) to produce a graph of y versus y for : (i) your numerical solutions of x1 (ii) the exact solution given by y=sin2(x)

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