The appropriate substitution to solve the homogeneous differential equation dy/dx = f(y/x) is:
The appropriate substitution to solve the homogeneous differential equation dy/dx = f(y/x) is:
- A. x = vy
- B. y = vx
- C. y = x/v
- D. x = y/v
Answer: B) y = vx
Explanation: For a homogeneous DE of the form dy/dx = f(y/x), we substitute y = vx, which implies dy/dx = v + x(dv/dx).
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.