Find the general solution of the differential equation, or the particular solution if initial values are given. y" - 10y' + 74y = 0
A. y = C1e5x sin 7x + C2e7x cos 5x
B. y = C1e7x sin 5x + C2e7x cos 5x
C. y = C1e5x sin 7x + C2e5x cos 7x
D. y = C1e5x sin 7x + C2e-5x sin 7x
Answer: C
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Solve the given third- or fourth-order differential equation.D3y + 2 D2y - 63 Dy = 0
A. y = c1e9x + c2e-7x B. y = c1 + c2e-9x + c3e7x C. y = c1 + c2e9x + c3e-7x D. y = c1e-9x + c2e7x
Factor completely.x2 - 3xy - 18y2
A. (x - y)(x + 3y) B. (x + 6y)(x - 3y) C. (x - 6y)(x + y) D. (x - 6y)(x + 3y)
Determine whether the given function is even, odd, or neither.f(x) = 
A. Even B. Odd C. Neither
Choose the verbal description for f(x).f(x) = x2 - 8
A. Square the input x then subtract 8 to obtain the output y. B. Subtract the square of 8 from the input x to obtain the output y. C. Square 8 then subtract the input x to obtain the output y. D. Subtract the input x from the square of 8 to obtain the output y.