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Unformatted text preview: example: So, this equation is not exact, so use IF => => so, the term appears to be similar to the original M term. So, assume that the IF is a function of y only, and becomes 0 Now, which simplifies to which comes out to: Now, the differential equation becomes: (check on your own that this is now exact) Now, so integrate M with respect to x (I found out after class from a very helpful greek student in the class that the symbol I've been drawing on the board and calling phi is most likely to actually be a psi Ψ) Integrating M gives: Now, N= , so take the derivative of the Ψ we just found to solve for the f(y) term: so, f'(y)= f(y)= So, the final answer is: and since Ψ=C, Question I will take up the beginning of the next tutorial (please try it on your own): Y(x+y+1)dx + x(x+3y+2)dy = 0...
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This note was uploaded on 12/01/2010 for the course MATH 263 taught by Professor Sidneytrudeau during the Fall '09 term at McGill.
 Fall '09
 SidneyTrudeau
 Math, Equations, Factors

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