Which method is most appropriate to solve dy/dx = (x + y)²?
Which method is most appropriate to solve dy/dx = (x + y)²?
- A. Variable Separable directly
- B. Homogeneous substitution y=vx
- C. Linear DE formula
- D. Substitution x+y = v
Answer: D) Substitution x+y = v
Explanation: The equation is not homogeneous or linear, and variables cannot be separated directly. Letting x + y = v gives 1 + dy/dx = dv/dx, so dv/dx = v² + 1, which reduces it to variable separable form.
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