Calculus 9.1 Modeling with Differential Equations

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Calculus: Early Transcendentals 8th Edition by James Stewart
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I wish you would explain more of the steps you take. the steps from 5:14 to 5:50 are unclear to me as to why you made the numerator at 5:43 into a subtraction. This trick would help people in other problems. I assume you convert the 1/1 into the (1-ce^t)^2/(1-ce^t)^2? But how do you get from one to the other fraction? How did we arrive to the 4ce^2 after the step before? I like that you expanded previously when finding y' but then chose not to later on. These little steps are important to learn and many teachers gloss over them too quickly which makes the notes more worth shelving than revisiting.

drumjunky