# Differential Equation: Increase at a Rate Equal to Product of Time Elapsed

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The amount of a chemical increases at a rate equal to the product of elapsed time (in minutes) and the amount of the chemical. If the initial amount of the chemical is 10 units, what is the number of units at 4 minutes?

A. 14 B. 10 + e8 C. 10 + e16

D. 10e8 E. 10e16

https://brainmass.com/math/calculus-and-analysis/differential-equation-increase-rate-equal-product-time-elapsed-33143

#### Solution Preview

The answer is D.

According to the condition, suppose the amount of the chemical is y, the ...

#### Solution Summary

The amount of a chemical after a given time has elapsed is calculated. The solution is detailed and well presented. The response was given a rating of "5" by the student who originally posted the question.

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