Given the initial value problem 2 y": y' + 0, y(0) = 19, y'(0) = b, - 9 81 Find the solution as a function of b, and then determine the critical value of b that separates solutions that remain positive for all t > 0 from those that eventually become negative. NOTE: Use t as the independent variable. y(t) The critical value of b is

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A: here we need to find the anti derivative of given function. the solution is following.

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A: Explanation of the answer is as follows

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A: Please see the answer below.

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