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In: Advanced Math

Description: A terrible zombie apocalypse is ravaging across planet earth. The number of zombies is growing...

Description: A terrible zombie apocalypse is ravaging across planet earth. The number of zombies is growing proportionally to the number of zombies present. After one month since the first infection, 100 million people had been infected and by the time another month had passed, there were 400 million infected.

1)  Construct a differential equation which models the number of zombies. Explain the reasoning behind how you constructed the model you chose to use. Discuss any potential shortcomings of your model. Describe any initial conditions associated with your model.

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