Find the particular solution to the given differential equation that satisfies the given conditions.D2y - 4 Dy + 8y = 0; y = 0 when x = 0 and y = e?/2 when x = 
A. y = ex sin 2x
B. y = e2x(c1 sin 2x + c2 cos 2x)
C. y = e2x sin 2x
D. y = e2x cos 2x
Answer: C
Mathematics
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Translate the sentence to an equation using the variable x. Then solve the equation.When 5 times a number is subtracted from 7 times the number, the result is 18.
A. 7x - 5x = 18; 9 B. 5x(7 - x) = 18; -9 C. 5x + 9x = 18; 2 D. 5(x - 7) = 18x; 2
Mathematics
Determine if the given ordered pair is a solution to the system of equations.
(-4, 0)
A. Yes B. No
Mathematics
Solve the problem.Find the equilibrium point for the given supply and demand functions. Here p represents price and x represents quantity.
A. (177, $200) B. (200, $177) C. (1172, $426) D. (-423, $1177)
Mathematics
Find the whole.40% of what number of drives is 66 drives?
A. 1650 B. 26.4 C. 16.5 D. 165
Mathematics