Question: It can be shown that y1 = est and y2 = test are solutions to the differential equation dy dt2 dt dy _ 4y =

 It can be shown that y1 = est and y2 =

It can be shown that y1 = est and y2 = test are solutions to the differential equation dy dt2 dt dy _ 4y = 0 on (-oo, oo). (you do not need to verify this). (a) What does the Wronskian of y1, y2 equal on (-co, oo)? W(y1, 2) = on (-0o, 00). (b) Are {y1, y2} linearly independent on (-oo, co)? Choose Explain in writing how the Wronskian can be used to determine whether the functions are linearly independent or linearly dependent. (c) Is {y1, y2} a fundamental set for the given differential equation? Choose Explain in writing how you determined this

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