quiz_11D - n 6 = 0. (b) For what value(s) of n is this a...

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Math 213 — Quiz 11 Name Solution 1. Let y 0 = 3 x ( y + x n ) where n is an integer (positive, negative, or zero). (a) For what value(s) of n is this a separable equation? When n = 0, we can rewrite the equation in the form dy dx = 3 x ( y + 1) = 3 x ( y + 1) - 1 , which is separable. The equation is not separable when
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Unformatted text preview: n 6 = 0. (b) For what value(s) of n is this a linear equation? We can always rewrite the equation as y-3 xy = 2 x n +1 . So this equation is linear for all possible values of n ....
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This note was uploaded on 05/09/2008 for the course MATH 2130 taught by Professor Dorais during the Spring '08 term at Cornell University (Engineering School).

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