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Consider the non-homogeneous differential equation
y" - 10 y' + 9 y = -3 cos(3t) + 5 sin(3t).
a. Find the roots of the characteristic polynomial, r+ and r-, larger and smaller or equal, respectively.
b. Find the real-valued fundamental solutions to the differential equation associated to the roots in part (a).
c. Use the functions in part (b) to find the general solution to the homogeneous equation, (use the names c and d for any arbitrary constants)
d. Find a particular solution yp to the non-homogeneous equation.
e. Find the solution of the initial value problem y" - 10y' + 9y = -3 cos(3t) +5 sin(3t), y(0) = 2, y'(0) =-2.
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
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Calculate the present value of this annuity at an annual effective interest rate of 8%.
the anxiety general stress test angst has been designed to gauge the level of psychological stress management trainees
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A forest consist of two types of trees: those that are 0-5 feet tall and those that are taller than 5 feet. Each year, 40% of all 0-5 feet tall trees die, 10% are sold for $20 each, 30% stay between 0-5 feet tall, and 20% grow to be more than 5 fe..
The appropriate alternative hypotheses for study is that gender and acceptance are associated.
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Jason and Debbie leave city A at 2:00 P.M. and drive at a constant speed, traveling west on I-90. They pass city B, 70 mi from city A, at 2:50 P.M.
Write each number given in as a decimal numeral.
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Calculate a 95% Confidence Interval for the following samples: =450, N=200, σ=100 =105, N=50, σ=15 = 19, N = 17, s = 5 = 8, N = 40, s = 1.6 = 8.35, N = 30, s = 1.59 Calculate a 99% Confidence Interval for the following samples: =525, N=110, σ=100 =30..
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