This preview shows page 1. Sign up to view the full content.
Unformatted text preview: 0.8 1.6 2.4 3.2 4 4.8 5.6 6.4 7.2 8 8.8 9.6 10.415105 5 10 15 20 25 30 35 Exact Equations First Order Equations Revisited. Recall that every frst order dierential equation is in the Form dy dx = G ( x,y ) For some Function G = G ( x,y ). Say that there are two Functions M = M ( x,y ) and N = N ( x,y ) such that G ( x,y ) = M ( x,y ) N ( x,y ) . Then we can write the frst order dierential equation in the Form dy dx = M ( x,y ) N ( x,y ) = M ( x,y ) dx + N ( x,y ) dy = 0 . Recall that a diferential equation is simply an equation involving dierentials such as dx and dy . Since this is the Diferential Calculus we can manipulate dierentials in this way. Such an equation will also be called a frst order dierential equation....
View
Full
Document
This note was uploaded on 11/30/2011 for the course MATH 366 taught by Professor Edraygoins during the Spring '09 term at Purdue UniversityWest Lafayette.
 Spring '09
 EdrayGoins
 Critical Point, Slope

Click to edit the document details