MATH 308 Midterm: MATH 308 TAMU Exam 1
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This review should not be used as your sole source of preparation for the exam. You should also re-work all examples given in lecture and all suggested homework problems: find the general solution of the di erential equation y + 3y = t + e 2t. Describe the behavior of solutions as t : solve the initial value problem dy dt y t. How long will it take the object to cool down to 21 c: suppose an object is launched straight up from the ground with initial velocity v0. Ignoring the e ects of air resistance, determine the time at which the object will return to the ground. (your answer should be in terms of v0 and the acceleration due to gravity at the earth"s surface, g. ) Find all equilibrium solutions and determine their stability: consider the di erential equation y = y2(1 y)2. Find all equilibrium solutions and determine their stability: consider the single-species population model dn dt.