Unformatted text preview: C that makes the function y = Ce-x satisfy the diﬀerential equation (1) and also satisﬁes the initial condition y (0) = 17. For question 6, I’m thinking of a function f . The graph of f has the property that at every point, the slope is equal to the sum of x and y . 6a. Express that property as a diﬀerential equation. 6b. If the graph goes through the point (1 , 1), what does the graph look like near that point? 6c. What do you think is the approximate value of f (1 . 001)?...
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- Fall '08