Please read each problem carefully before starting to solve it. For each multiple choice problem 4 answers are given, only one of which is correct. For partial credit questions, all work must be shown - credit will not be given for an answer unsupported by work. Please do not write in the box below. 1 t2 y(1) = 4 is valid on; (a) ( 2, 2) (b) (0, 2) (c) (2, ) (d) ( , ) Math 251 summer 2002 -midterm exam 1: (12 points) solve explicitly the initial value problem; y = Math 251 summer 2002 -midterm exam 1: (14 points) a 400-liter tank is initially lled with 100 liters of dye solution with a dye concentration of 5 g/l. Pure water ows into the tank at a rate of 3 liters per minute. The well-stirred solution is drained at a rate of 2 liters per minute.