Question

The solution of the differential equation \[ x\frac{dy}{dx}+y=0 \] passing through the point \((1,1)\) is \(y=\)

• A. \(x^2\)
• B. \(x^{-1}\)
• C. \(x^{-2}\)
• D. \(x\)

Hint:

For equations like \(x\frac{dy}{dx}+y=0\), separate variables and use the given point to find the constant.

Answer 1

The Correct Option is B