Multiple choice general knowledge math & puzzles

solve the differential equation: dy/dx = y/x

  1. xK where x does not exist

  2. Kx where K = +-e to the power of C

  3. Kx where K does not exist

  4. xK where x = +-e to the power of C

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Separating variables: dy/y = dx/x. Integrating: ln|y| = ln|x| + C. Exponentiating: y = Cx (where C is the constant of integration). The solution represents direct proportionality between y and x.