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If y = x / ln|cx| (c an arbitrary constant) is the general solution of the differential equation dy/dx = y/x + phi(x/y), find the function phi(x/y).
- x² / y²
- -x² / y²
- y² / x²
- -y² / x²
Correct answer: y² / x²
Solution
Differentiating y = x/ln|cx| gives dy/dx = y/x + y²/x², so phi(x/y) = y²/x².
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