question form

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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.

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Query 14 question

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I am working on query 14 and I am having trouble understanding how to answer this question:

Question:  Decide whether y_1 = 3 e^t, y_2 = e^(t + 3) are solutions to the equation y '' - y = 0.  If so determine whether the two solutions are linearly independent.  If the solutions are linearly independent then find the general solution, as well as a particular solution for which y (-1) = 1 and y ' (-1) = 0.

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I know how to find if the two equations are solutions, but how do you find if they are linearly independent? Is that where the Wronskian comes in???

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That is correct. The solutions are linearly independent if the Wronskian is nonzero.

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