Question

The solution of the differential equation \( 5y\,dx = 2x\,dy \) passing through the point \( (1,1) \) is:

• A. \( 2\ln x = 5\ln y \)
• B. \( 5\ln x = 2\ln y \)
• C. \( \ln(y + x) = 2 \)
• D. \( \ln(1 + xy) = 0 \)
• E. \( 3\ln x = 5\ln y \)

Hint:

Whenever the equation contains both \(x\) and \(y\), first check whether variables can be separated. Most exam questions from differential equations use this standard technique.

Answer 1

The Correct Option is B