q=98!

q=98!

The shape, y(x). of a certain structure is governed by the following differential equation Suppose that y(0.5) 0.4201q y(2)-q Tasks 1. Use the shooting method and MATLAB's built-in numerical solver ODE45 to compute y(x) on the interval 0.5 x 2 . (The value of y at x=2 must be correct to at least four significant figures.) [YOU MAY USE "TRIAL AND ER- ROR." YOU ARE NOT REQUIRED TO PROGRAM THE LOGIC FOR CONVERG- ING TO THE ANSWER.] 2. Use MATLAB to plot the final result for y(x) from Task 1 3. Compute the slopes, y'(x), at both ends of the interval (x-0.5, x-2). (Re- port at least three significant figures.)