This preview shows page 1. Sign up to view the full content.
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) dxh(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 ...
View
Full
Document
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).
 Spring '08
 DORAIS
 Math, Calculus

Click to edit the document details