Catenary Curve (Graph and Function When the Heights at Both Ends Are Different)

I would like to examine the function of a string suspended between two endpoints at different heights. Now, if we consider a function with one endpoint (which we’ll call the starting endpoint, and the other the ending endpoint) as the origin, it is determined by the horizontal distance D between the endpoints, the height h of the ending endpoint, and the length L of the string, and is expressed as follows.Please note that in the following, cosh refers to the hyperbolic cosine function, not cos(h*...).

*Since the aspect ratio of the generated graph is generally not 1:1, if you wish to obtain a graph that closely resembles reality, please use the values of a and x1 displayed in the first row of the table, along with the following equation, to plot the graph using graphing software or similar tools.