MATH-0051 Midterm: MATH51 PastExams Exam1-S13
Document Summary
No calculators, books or notes are allowed on the exam. All electronic devices must be turned off and put away. you must show all your work in the blue book in order to receive full credit. Please box your answers and cross out any work you do not want graded. With your signature you are pledging that you have neither given nor received assistance on the exam. Goodluck: (15 points) consider the differential equation x a . Explain: find the solution for which x(0) = 5. dx dt. 0: (10 points) a savings account pays 3% interest per year, compounded continuously. In addition, the income from another investment is credited to the account continuously, at the rate of per year. Do not evaluate the constants: (15 points) find (and simplify where possible) the general solution of x 2x + x = et/t2. (checkallyourintermediateanswerscarefully;nocreditforworkbasedonwrongpriorsteps. , (10 points) a . Justifyyourconclusion: (5 points) suppose f (t) is continuous.
