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Mth 279
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Question Form_labelMessages **
query 15 question
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This is a question from query 15.
Question: Suppose y1 and y2 are solutions to y '' + 2 t y ' + t^2 y = 0. If y1(3) = 0, y1 ' (3) = 0, y2(3) = 1 and y2 ' (3) = 2, can you say whether {y1, y2} is a fundamental set? If so, is it or isn't it?
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Is it possible to evaluate a Wronskian at a value of t??? I don't know how else to solve this problem. I don't know how to get the equations of y1 and y2 just from the first equation.
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One property of the Wronskian is that if it's nonzero at one point in the domain of the equation, it's nonzero at all points.
So yes, you can evaluate the Wronskian.
Good thinking, good question.
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