quiz_11C - Math 213 -- Quiz 11 Name Solution 1. Show that...

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Unformatted text preview: Math 213 -- Quiz 11 Name Solution 1. Show that every separable differential equation is exact. g(x) dy = . We can rewrite this in the form dx h(y) h(y) dy = f (x) dx, or f (x) dx-h(y) dy. This is of the form P (x, y) dx+Q(x, y) dy = 0 where P (x, y) = g(x) and Q(x, y) = h(y). Q P = . But To see that it is exact, we need to check that y x A separable equation is one of the form P g(x) Q h(y) = = 0, = = 0. y y x x ...
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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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