Find the general solution of the differential equation, or the particular solution if an initial condition is given. 5y' - 10xy - x = 0

A. y =  + Ce-x2/2
B. y = -  + Cex2/2
C. y = -  + Cex2
D. y = -  + Ce-x2

Answer: C

Mathematics

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Use the discriminant to find what type of solutions (two rational, two irrational, one rational, or two nonreal complex) each of the following equations has. Do not solve the equation.9 - 2x2 = 5x + 3

A. one rational solution B. two nonreal complex solutions C. two rational solutions D. two irrational solutions

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Mathematics

Solve the problem.A student must choose 1 of 4 mathematics electives, 1 of 8 science electives, and 1 of 7 programming electives. How many possible course selections are there?

A. 448 course selections B. 19 course selections C. 32 course selections D. 224 course selections

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Mathematics

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.x2 - 25y2 + 4x + 200y - 421 = 0

A. center at (4, -2)
transverse axis is parallel to x-axis
vertices at (-1, -2) and (9, -2)
foci at (4 - , -2) and (4 + , -2)
asymptotes of y + 2 = - (x - 4) and y + 2 = (x - 4)
B. center at (-2, 4)
transverse axis is parallel to x-axis
vertices at (-7, 4) and (3, 4)
foci at (-2 - , 4) and (-2 + , 4)
asymptotes of y - 4 = - (x + 2) and y - 4 = (x + 2)
C. center at (-2, 4)
transverse axis is parallel to x-axis
vertices at (-3, 4) and (-1, 4)
foci at (-2 - , 4) and (-2 + , 4)
asymptotes of y - 4 = - 5(x + 2) and y - 4 = 5(x + 2)
D. center at (-2, 4)
transverse axis is parallel to y-axis
vertices at (-2, -1) and (-2, 9)
foci at (-2, 4 - ) and (-2, 4 + )
asymptotes of y + 4 = - 5(x - 2) and y + 4 = 5(x - 2)

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Mathematics

Factor the polynomial completely.189b4 - 54b3 + 56by3 - 16y3

A. 27b3(7b - 2) + 8y3(7b - 2) B. (3b + 2y)(7b - 2)(9b2 - 6by + 4y2) C. 189b4 - 54b3 - 56by3 + 16y3 D. (21b2 - 6b + 14by - 4y)(9b2 + 6by + 9y2)

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Mathematics