Question

The differential equation is \[ \frac{dy}{dx}+\frac{y}{x}=0 \] and \(y(1)=2\). Then the value of \(y(3)\) is

• A. \(2\)
• B. \(3\)
• C. \(\frac{2}{3}\)
• D. \(1\)

Hint:

For equations of the form \(\frac{dy}{dx}+\frac{y}{x}=0\), the solution is usually of the form \(xy=C\).

Answer 1

The Correct Option is C