Consider the pair of functions y1 = ln t and y1 = t ln t.
Which of these statements is true?
A) Both y1 and y2 can be solutions of the differential equation
on the interval (0, ) , where p(t) and q(t) are continuous on (0, ) .
B) The Wronskian for this function pair is strictly positive on (0, ) .
C) Abel's theorem implies that y1 and y2 cannot both be solutions of any differential equation of the form
on the interval (0, ) .
D) The pair y1 and y2 constitutes a fundamental set of solutions to some second-order differential equation of the form
on the interval (0, ) .
Correct Answer:
Verified
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