I see ODEs like $P(x)dx+Q(y)dy= 0$ in the context of exact differential equations.
My understanding is that this is another expression of $P(x)+Q(y)y'=0$.
Why write $P(x)dx+Q(y)dy= 0$ instead of $P(x)+Q(y)y'=0$?
I see ODEs like $P(x)dx+Q(y)dy= 0$ in the context of exact differential equations.
My understanding is that this is another expression of $P(x)+Q(y)y'=0$.
Why write $P(x)dx+Q(y)dy= 0$ instead of $P(x)+Q(y)y'=0$?
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