AMath350.F12.A6

# Denition vectors let y1 x e x v and y2 e x u xv

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Unformatted text preview: nvector u. deﬁnition vectors. Let y1 x) = e x v and y2 ( ) = e x (u + xv). Use the (That is, u satisﬁes (A y1 (x) u = v).(x) are2linearly and u are linearly independent I ) and y2 dD = D 5p + 10 Recall that v independent functions on IR. to show that x dt vectors. Let y1 (x) = e v and y2 (x) = e x (u + xv). Use the deﬁnition 3. In show we discussed the and) p is linearly independent of increase ofIR. where D is the x) and relationship price. The Wronskian and linear to class that y1 (demandy2 (x are the between therate functions on the independence to the rate ofwhich are of the quantity. price is equal of functions decrease solutions of a particular system of 3. In class we discussed the relationship between the Wronskian and linear di erential equations. The relationship for arbitrary functions is more (a) Write see how, consider the are solutions of for 4 .independence of afunctionsof di erential equations a particular system of subtle. Todown system which following example D(t) and p(t) tha...
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