Math 220 intro to differential equation

Math 220, Summer 2022 Homework 4, due Sunday, June 26 Reminder: All work submitted must be YOUR OWN. Consult the syllabus for the academic integrity policy and Blackboard for tutorials on how to submit on Gradescope. Please, write clearly, show all steps, state your answer and remember to properly assign page numbers to each question. We can only grade the calculations that are shown. Calculators may be used for simple arithmetic, but use of CAS or other mathematical or graphing software is not permitted. When solving differential equations and initial value problems, begin by stating the type of the equation and the method used, then follow the steps shown in the lecture and on Blackboard and make your answers as explicit as possible. Problems 1. Find a general solution of the ODE ty' - 2y = 6t- Int (t > 0) 2. Solve the IVP 2 + 4r + cot(x)y = 0 (0