1. Please construct a flowchart that takes one through the solution methods we've discussed so far: Guess-and-Check, Separation of Variables, Method of Undetermined Coefficients, and Integrating Factors. I have no standard for formatting but make sure it is clearly constructed. For each decision in your flowchart provide text that explains your thought process in deciding which branch to traverse. For each method (the terminal nodes on your flowchart) provide a concise description of the method using mathematics and explanatory text. 2. Apply your flowchart to the following problems. Make sure you "narrate" how you are carrying the equation through the flowchart and how it deals with each condition. (a) de = cos(t) (2 - x), = (3) =0. (b) dw - =3w _ 2t-1 dt t 13 (c) 4y' ty = 12 + 3