This exam has 11 questions for a total of 100 points. In order to obtain full credit for partial credit problems, all work must be shown. Points might be deducted, at the sole discretion of the instructor, for an answer not supported by a reasonable amount of work. The point value for each question is in parentheses to the right of the question number. You may not use a calculator on this exam. Please turn off and put away your cell phone. June 29, 2015: (7 points) for each problems below, determine the order of the given di erential equation; also state whether the equation is linear or nonlinear. If the equation is nonlinear, please circle the term(s) that make it so. E 5ty + (sin t)y = 4t2 7. 6y = (12 t t2)e t. + 3y = 6 tan 2t dt3(cid:19)2 (cid:18) d3y dt2(cid:19)3.