Posted by colin on August 09, 2002 at 10:42:06:
In Reply to: No... it is SLIGHTLY more complicated than that ..... posted by Subhotosh Khan on August 09, 2002 at 08:24:17:
: : : Read it and thou shall learn....
: : So is it that you must be able to isolate variables of each type on opposite sides of the equals sign?
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: Suppose your ODE is in the form below:
: f_1(x,y) dx = f_2 (x,y) dy
: Now there is a relationship between"partial differential" of f_1 and f_2 that must be satisfied.
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I've read and read in our DE textbook, and I can't find any mention of the use of partial derivatives to verify separable equations... How does that work?