Question:medium
The slope of a curve at any point \((x,y)\), other than origin, is \( y + \frac{y}{x} \). Then the equation of the curve is
The slope of a curve at any point \((x,y)\), other than origin, is \( y + \frac{y}{x} \). Then the equation of the curve is
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Convert into separable form whenever possible—it simplifies solving differential equations quickly.
Updated On: May 8, 2026
- \( y = Cxe^x \)
- \( y = x(e^x + C) \)
- \( xy = Ce^x \)
- \( y + xe^x = C \)
- \( (y-x)e^x = C \)
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The Correct Option is C
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