Express (x + 4/x)dy/dx - y = 1 in the form y = f(x) where the curves passes through the origin.  Given that x = 2 + t/1+ 2t and y = 3 + 2t/ t, show that dy/dx = (1 + 2t/ t)2

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A: First separate the variables than integrate and solve the  differential equation .

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A: By using equation of tangent line formula, we find the required tangent line.

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Q: y-Castesinz şinz

A: The detailed solution is as follows below: