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Unformatted text preview: solution in the tank is always completely mixed. 2 2. a) The diﬀerential form ω = ( x 2 +2 xy ) dx +( x 2 + y 2 ) dy is exact. Find a function F ( x,y ) such that dF = ω . b) The level curves of the function F ( x,y ) that you found in part a) are solutions to a ﬁrst order diﬀerential equation. Write down that diﬀerential equation....
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 Spring '07
 staff
 Differential Equations, Equations, Tank, Differential form

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