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The Number of Patents Issued for a Certain Product Between

question 25

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The number of patents issued for a certain product between 1950 and 1970 was increasing with respect to time at a rate jointly proportional to the number of patents already obtained and to the difference between the number of patents already obtained and the carrying capacity of the system. The carrying capacity was approximately 9000 patents, and the constant of proportionality was about 0.00068. By 1951, 3000 patents had been obtained. Find a particular solution for the number of patents t years after 1950.


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