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The rate of change of y is proportional to the product of y and the difference...

The rate of change of y is proportional to the product of y and the difference of L and y. Solve the resulting differential equation dy/dx = ky(L - y) and find the particular solution when L=100, that passes through the points (t,y) = (0,10) and (t,y) = (5,30).

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