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2nd Order Diff Eqn. (complex roots)

  • Thread starter aznkid310
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Homework Statement


Prove that if y1 and y2 have maxima or minima at the same point in I, then they cannot be a fundamental set of solutions on that interval.


Homework Equations



Do I take the wronskian (determinant of y1, y1', y2, y2')? What would that tell me?

The Attempt at a Solution

 

Answers and Replies

  • #2
HallsofIvy
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1) What is the Wronskian?

2) Why do you mention it here? What does the Wronskian have to do with differential equations?
 
  • #3
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The wronskian is a determinant that tells us whether a set of functions is linearly independent or not right? How does that relate to maxima/minima?
 
  • #4
HallsofIvy
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If y1 and y2 have maxima or minima at the same point, what are y1' and y2' there? What is the Wronskian at that point?
 

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