1. a) Solve for y in the initial-value problem x*y' = y-x3y, y(-1) = -1 b) Find (with justification) the point at which the rate of population growth begins to slow down under the logistic equation. c) Solve for y in the initial-value problem y' +4y = 3, y(0) = 2 using the methods of (i) separable equations and (i) general first-order linear DEs

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A: Solution is given below:-

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A: The detailed solution of the problem follow the next steps.

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A: