Implicit logarithmic curve through (2, 2)
Implicit logarithmic curve through (2, 2)
IB Year 6 | Grade 12
5 marks
The curve through \((2,2)\) satisfies \((x+y)\dfrac{\mathrm{d}y}{\mathrm{d}x}=y\) for \(x>0\) and \(y>0\). Find an implicit equation for the curve.[5]
Solution:
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Answer:\(y\left(1+\ln\dfrac{y}{2}\right)=x\)
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