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

Q: 1. Show that if you differentiate both sides of x2 + 2y³ = 6, the result is 2x + 6y2 = 0. Then solve…

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Q: (0-2) dy do With initial value problem // (0) = -1 - 2X - = 3 (8-2) seco tano

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A: Given differential equation can be written as

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Q: 6. Solve the initial value problem: dx (x² + 2y²). = xy, y(-1) = 1 dy %3|

A: First of all write the given initial value problem in MDX+Ndy=0 form which is the homogeneous…

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Q: 1. Sketch the graph of the solution of the initial value problem. Hint: You are not asked to solve…

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Q: Can i get help step by step?

A: To determine the solution of the initial value problem.

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A: given that

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Q: 1. Solve the initial value problem, (1/x +2y²x) dx + (2yx² – cos y) dy = 0, with y(1) = x.

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