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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 of y1,y2 equal on (−∞,∞)? W(y1,y2) = …………………?…………………….on (−∞,∞). (b) Is {y1,y2} a fundamental set for the given differential equation? YES or NO

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2) It can be shown that y1=e^(−2x) and y2=xe^(−2x) are solutions to the differential equation 

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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

 
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