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The instructions and problems for a midterm exam in math 30, focusing on differential equations. The exam includes solving given differential equations, determining the differential equations for specific scenarios, and calculating the time it takes for a population to reach a certain size. Students are required to write clear and concise solutions in their blue books.
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Midterm 3, Math 30, Fall 2008, 12/08/
Instructions: Write your name and section number. Draw grading table on the cover. Read each problem carefully and follow all of its instructions. For each of the problems below, write a clear and concise solution in your blue book. Solutions must be simplified as much as possible, no full credit for partially completed problems. Blue books with torn or missing pages will not be accepted!
y dx
dy (^) and y ( 1 )= 2
Extra Credit: In problem 2 assume logistic growth with carrying capacity of 2000. Write down the logistic equation. ( 5 pts)