For your discussion, create a differential equation using the function Fa (x, y) satisfying the criteria described. da 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 (x, y) below. Fi(x, y) =2 by F2 (x, y) =- cos(az) Historical Note: Friedrich Wilhelm Bessel (1784 F3 (x, y) = enz - 1846) was a German astronomer and mathematician. Bessel functions are extremely important in many areas of physics and FA(x, y)= engineering. First published in 1817, they were developed through his study of a problem by Fs (x, y) = yotl sin(bx) Johannes Kepler on determining the motion of three bodies moving under mutual gravitation. These functions are solutions to the Bessel differential equation , which is a linear, For example, if your name is Excelsior University, your first initial is E(1) and your last initial is U(5), and these correspond to the following function to use for this discussion second-order ordinary DE. Contemporary drawing by Michel Hertrich. ! = Fi(x, y) = 241 5y 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. E 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