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Find the equation of the curve through t...

Find the equation of the curve through the point (1,0), if the slope of the tangent to the curve at any point (x,y) is `(y-1)/(x^(2)+x)`

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To find the equation of the curve through the point (1, 0), given that the slope of the tangent to the curve at any point (x, y) is \(\frac{y-1}{x^2+x}\), we can follow these steps: ### Step 1: Set up the differential equation We start with the given slope of the tangent, which can be expressed as: \[ \frac{dy}{dx} = \frac{y - 1}{x^2 + x} \] ...
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