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2) It can be shown that y1=e^(2x) and y2=xe^(2x) are solutions to the differential equation d^2y/dx^2+4dy/dx+4y=0 on (,). (a) What does the Wronskian...
2) It can be shown that y1=e^(−2x) and y2=xe^(−2x) are solutions to the differential equation
d^2y/dx^2+4dy/dx+4y=0 on (−∞,∞).
(a) What does the Wronskian of y1,y2 equal on (−∞,∞)?
W(y1,y2) = .....................?.........................on (−∞,∞).
(b) Is {y1,y2} a fundamental set for the given differential equation? YES or NO