1) [8] Find the general solution to dy = (x²y³ + xy³)dx. Simplify your answer until you have y raised to a negative power on one side of the equation. 2) [4] Find the particular solution to the equation in Problem #1 at (-1,2) 3) [8] Suppose that the growth of a certain population of bacteria satisfies number of organisms, and t is the number of hours. If initially there are 10,000 organisms, and the number doubles after 3 hours, how long will it take before the population reaches 100 times the original population? Round your answer to the nearest tenth of an hour. Hint: find the value of C using the initial conditions, then find the value of k dy dt ky where y is the

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