Precalculus: A Unit Circle Approach with Integrated Review, Books a la Carte Edition, plus MyLab Math with Pearson eText and Worksheets -- Access Card Package (3rd Edition) 3 Edition ISBN: 9780134764597

with $y(0)=1$. I am wondering if what I have done is valid, given that this is a homework question for an Integral Calculus class, but I seem to be able to answer the question without doing any integration. Taking the derivative of both sides (and using implicit differentiation) with respect to $x$ and then...

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