MATH 307 Midterm: MATH 307 UW 307 Su10 Midterm 2
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Math 307, sections a,b and c, summer 2010, midterm ii. You have 60 minutes: you may use a calculator which does not graph and which is not programmable, show your work, please box your nal answer. 1: a force of 2. 5 newtons stretches a spring 40 cm. A mass of 2 kg is attached to the spring and an external force of 4cos(t) newtons acts on the mass. The system is placed in a liquid that imparts a viscous force of 2 newtons when the speed is 2 meters per second. 2: given that y = et is a solution to. Nd the general solution. (10 points) (t 1)y . 3: find the general solution to y + 4y = 3 cos(2t). (10 points) 4: tell me what you should try for a particular solution for the following non-homogeneous di erential equations. Do not nd the particular solution. (10 points) (a) y + 3y .
