Question: please use matlab A chain is hung between two points, as shown in the figure below. The height of the chain along the x-axis is
A chain is hung between two points, as shown in the figure below. The height of the chain along the x-axis is described by the following differential equation dx2d2y=Tw1+(dxdy)2 for the weight per unit length w and tension of the chain T. Questions (a) Convert this second order ODE into a system of first order ODEs. (b) Using the shooting method, create a code which numerically solves this problem for any w,T, and length L. (c) How does the solution change as you increase T or w ? Does the change in the solution make sense? (d) How many initial conditions are needed? Do these change as you change T or w
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