The appropriate substitution to solve the homogeneous differential equation dx/dy = f(x/y) is:
The appropriate substitution to solve the homogeneous differential equation dx/dy = f(x/y) is:
- A. y = vx
- B. x = vy
- C. xy = v
- D. x + y = v
Answer: B) x = vy
Explanation: When the equation is expressed as dx/dy = f(x/y), it is easier to substitute x = vy, which gives dx/dy = v + y(dv/dy).
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