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1.) Find all constant solutions to the differential equation dy/dx = xy
2.) Show that y(x) = Ce^(x2/2) is a solution to the differential equation above
3.) For the solution in part b, describe C as a value of y(x)
4.) y(t) = 1/2 + Ce-2t is a solution to the differential equation dy/dx = 1-2y. If y(t) is a function, what is true about the long-term behavior of y(t) as the limit approaches infinity?
Consider the following programming problem: A C program is required that calculates and displays the weekly gross pay and net pay of two individuals.
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A conjugate of a percent is the difference of 100% and the given percent. What is the conjugate percent of 48%?
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Case Eastern Junior College awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer. If awards went to 46 students and only 2 lettered in all sports, how many students lettered in two of the three sports?
Let A ∈ Mnxn (R) differ from I and O. If A is idempotent, show that its Jordan canonical form is a diagonal matrix
How fast is the length of her shadow increasing?
If the investment account pays 12% interest compounded monthly, what would their initial investment have to be in order to reach their $100,000 goal in 5 years?
In triangle ABC, the lengths of line AB and line BC equal 13 centimeters. If the perimeter of triangle ABC is 36 centimeters, what is the area in square centimeters of triangle ABC?
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