The particular solution of dy/dx = 2x, given that y(1) = 2, is:
The particular solution of dy/dx = 2x, given that y(1) = 2, is:
- A. y = x²
- B. y = x² + 1
- C. y = 2x²
- D. y = x² + 2
Answer: B) y = x² + 1
Explanation: dy = 2x dx. Integrating gives y = x² + C. At x=1, y=2 → 2 = (1)² + C → C = 1. So, y = x² + 1.
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