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metgt4
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Homework Statement
Given a second order differential equation:
y'' + P(x)y' + Q(x)y = 0
If y1(x) and y2(x) are linearly independent solutions of the DE, what form does Abel's Equation give for W(y1(x), y2(x))? If we assume that one solution y1(x) is known, what first order DE results from a reduction of order using y1(x)?
The Attempt at a Solution
I know that Abel's Equation gives the form of
W(y1(x), y2(x)) = C[tex]e^{\int}[/tex]P(x)dx
Where C is a constant
But how would you use an unknown y1(x) to do a reduction of order on the equation?
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