Quiz # 1 math 2233, di erential equations aug 28, 2008. Show all your work neatly and concisely, and indicate your nal answer clearly: solve the following di erential equation when t > 0: (ty + (t + 1)y = 1, y(1) = 1 + e 1. Solution: y + t + 1 t y = 1 t dt = e t+ln t = te t since t > 0 t. = e multiply by (t) on both sides integrate both sides t. (t) = er t+1 t 1 t t + c y) = te y = e t (te t te y = To get the particular solution, use y(1) =
