Solve the differential equation using the method of undetermined coefficients.

y" - 4y' = sin12x


Mathematics

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Change the given quantity to the indicated unit. Round the answer to the nearest tenth of the unit if necessary.21 L ?    pt

A. 44.5 pt B. 19.1 pt C. 44.1 pt D. 50.4 pt

Mathematics

Simplify the expression. Assume that all variables represent non-negative real numbers.15 + 10

A. 5
B. 25
C. 5
D. 25

Mathematics

Solve the problem.A football team gained 11 yards on one play, lost 12 yards on another, and gained 25 yards on the last play of the first half. They had already gained 366 yards during the half. What was the total yardage gain for the first half?

A. 390 yards B. 342 yards C. 402 yards D. 414 yards

Mathematics

After beginning antiseptic treatment, the number of bacteria in a population decreases at a rate of 40% per day, that is, dN/dt=-0.40N, After beginning antiseptic treatment, the number of bacteria in a population decreases at a rate of 40% per day, that is,

a) When t = 0 , there are 5,000,000 bacteria present. Find a function that satisfies this equation. (b) How many bacteria will remain after 3 days? (c) After how long do half of the original bacteria remain?

Mathematics