Mathematics, 01.08.2019 23:30 hdwoody2002
Determine the values of the constants r and s such that i(x, y) = x rys is an integrating factor for the given differential equation. y(7xy2 + 6) dx + x(xy2 − 1) dy = 0
Answers: 1
, which we'll verify is not the case here.
across both sides of the ODE to get
, which in turn means
. Then substituting everything into the PDE above, we have
. Our ODE is now
and 
to our current coefficients, we end up with partial derivatives
. By the chain rule, we have
yields
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Determine the values of the constants r and s such that i(x, y) = x rys is an integrating factor for...
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