Solve the given differential equation. (The form of yp is given.)D2y + 6Dy + 5y = -5 + ex  (Let yp = A + Bex.)

A. y = c1e-5x + c2e-x - 1 +  ex
B. y = c1e5x + c2ex - 1 +  ex
C. y = c1e-5x + c2e-x - 1 -  ex
D. y = c1e-5x + c2e-x + 1 +  ex


Answer: A

Mathematics

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Refer to the figure to draw your conclusion.

(a) ED ? ____________ (b) DC ? ___________ (c) ?BAC ? ___________

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Write an equation for the linear function f satisfying the given conditions.f(3) = 5 and f(6) = 6

A. f(x) = x - 2
B. f(x) = x + 4
C. f(x) = x - 2
D. f(x) = x + 3

Mathematics

Explain the difference between > and ?.

A) > is strictly greater than, whereas ? includes the possibility that the quantities are equal. B) > is strictly less than, whereas ? includes the possibility that the quantities are equal. C) ? is strictly greater than, whereas > includes the possibility that the quantities are equal. D) ? is strictly less than, whereas > includes the possibility that the quantities are equal. E) There is no difference between them.

Mathematics

Write an equation to describe the situation.A garden is being constructed in the shape of a rectangle. Find the length L of the garden given that the length is  greater than the width and that the area of the garden is .

A. L + (L - 10) = 170 B. L(L + 10) = 170 C. (L - 10) = 170L D. L(L - 10) = 170

Mathematics