At your initial meeting with your business partners for CellGenTech®, you propose that the rate of change in the number of newly introduced cell lines that the company scientists should be able to produce should be proportional to the number of cell lines.
The company initially patented and owned three cell lines N(0)=3 and six months later were able to pick up another two lines N(6)=5. After one year, the model goes awry. It poorly predicts the number of lines. So, the initial model is changed to reveal that the rate of change in the number of cell lines are proportional to the square of the

Question

At your initial meeting with your business partners for CellGenTech®, you propose that the rate of change in the number of newly introduced cell lines that the company scientists should be able to produce should be proportional to the number of cell lines.
The company initially patented and owned three cell lines N(0)=3 and six months later were able to pick up another two lines N(6)=5.  After one year, the model goes awry. It poorly predicts the number of lines. So, the initial model is changed to reveal that the rate of change in the number of cell lines are proportional to the square of the