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In this question you will solve the following separable differential equation to give a relationship between x and y, dy 2 y2 with y

In this question you will solve the following separable differential equation to give a relationship between x and y, dy 2 y2 with y (0) = 1. da First write this equation in the form P (y) dy = Q(x) dx. (a) P (y) = (b) Q(x) = PW (c) Integrate P (y). Don't include the constant of integration. (d) Integrate Q(x). Include the constant of integration, lower case c. (e) What value must c take if y(0) = 1?

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