- #1
parkcman
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I'm flipping through a math book to eventually be able to get to a Fourier numerical solutions but the second chapter has me puzzled
Ux = partial d of U wrt x
Uy = partial d o U wrt y
a*Ux + b*Uy + k*U(x,y) = f(x,y)
dU = Ux * dx + Uy * dy
then they get
dx/a = dy/b = du/ (f(x,y) - k*U)
i don't seem to understand how there is an equal sign in between dx/a and dy/b or where it arises from
when i try to go through the math i seem to get a + sign but the math keeps continuing along with it and they call it "axuiliary equation" and google doesn't seem to help
Thanks for reading
Ux = partial d of U wrt x
Uy = partial d o U wrt y
a*Ux + b*Uy + k*U(x,y) = f(x,y)
dU = Ux * dx + Uy * dy
then they get
dx/a = dy/b = du/ (f(x,y) - k*U)
i don't seem to understand how there is an equal sign in between dx/a and dy/b or where it arises from
when i try to go through the math i seem to get a + sign but the math keeps continuing along with it and they call it "axuiliary equation" and google doesn't seem to help
Thanks for reading