The differential equation dy/dx = y/x + (φ(y/x)) / (φ'(y/x)) is reducible to variable separable form by substituting:
The differential equation dy/dx = y/x + (φ(y/x)) / (φ'(y/x)) is reducible to variable separable form by substituting:
- A. y = vx
- B. x = vy
- C. x + y = v
- D. xy = v
Answer: A) y = vx
Explanation: Since the terms are functions of y/x, substituting y = vx (or v = y/x) transforms the equation into a variable separable form.
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