Discussion Instructions For your discussion, create a differential equation using the function Fa (@, y) satisfying the criteria described. dr dy = Fa(x, y) Using the chart below, the value for a corresponds to the first letter of your first name. The value for b corresponds to the first letter of your last name. ABCDE: 1 FGHIJ: 2 . KLMNO: 3 PQRST: 4 . UVWXYZ: 5 Your values for a and b should be inserted into the appropriate function fa (a, y) below. Fi(x, y) = by Historical Note: Friedrich Wilhelm Bessel (1784 F2(x, y) = cos(azz) -1846) was a German astronomer and mathematician. Bessel functions are extremely F3 (@, y) = important in many areas of physics and engineering. First published in 1817, they were FA(@, y) = developed through his study of a problem by Johannes Kepler on determining the motion of Fs (x, y) = yat sin(ba) three bodies moving under mutual gravitation. These functions are solutions to the Bessel differential equation (+, which is a linear,- second-order ordinary DE. Contemporary For example, if your name is Excelsior University, your first initial is E(1) and your last initial is drawing by Michel Hertrich. U(5), and these correspond to the following function to use for this discussion dy +1 d= Fl(mny) = 35_9 Main Post Your main post should include the following: 1. State your differential equation. 2. Create a slope field for the differential equation by editing line 2 in the Desmos Application. & 3. By hand (using pencil and paper) find the general solution to the differential equation, using k for the unknown constant, and then enter this in line 13 of the Desmos app. To get a copy of your graph from the Desmos site to include in your discussion post, you must first save your Desmos image 2, as an image file to your own computer. Note the drop-down menu that appears when clicking on the plus symbol and the image option found there. Explanations, whether they be in the form of written words or spoken words, are expected throughout the mathematical work you present in your main post. You have options for how you create your main post: 1. Neatly handwrite your work and explanations on a single sheet of paper. Insert the image of that wark and your Desmos s2s/413098 /discusgraphdnto your main post. \f