- #1
jumbogala
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Homework Statement
I have another question. The following equation is inexact. Find an integrating factor u that makes the equation exact.
(-9/6)x4y6+3x8y7+x6)dx+(−1x5y5+(13/21)x9y6)dy=0
Homework Equations
Call the part before dx M, and the part before dy N.
The Attempt at a Solution
We did an example like this in class where to find u we took [(dM/dy)-(dN/dx)] / N. (those are partial derivatives). Then the answer to that was integrated and put to the power of e (e^integrated answer).
I tried doing that but it gave me something weird.
Partial of M with respect to y: -9x4y5 + 21x8y6
Parital of N with respect to x: -5x4y5 + ((21*9)/13)x8y6
Then take the difference between the two and get -4x4y5 -6.46x8y6
And divide that by N. this gives some weird function that I don't think is right because the answers are usually simple. I'm guessing I wasn't supposed to use the same initial formula that the example did, but all the examples seem to use it.