Which of the following is NOT a linear differential equation?
Which of the following is NOT a linear differential equation?
- A. dy/dx + y = x
- B. x(dy/dx) + y = 0
- C. dy/dx + y² = x
- D. dx/dy + x = y
Answer: C) dy/dx + y² = x
Explanation: A linear differential equation in y cannot have a term like y², y³, or y·(dy/dx). The equation dy/dx + y² = x has a y² term, making it non-linear.
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