Solve dy/dx = sin x, given y(0) = 1.
Solve dy/dx = sin x, given y(0) = 1.
- A. y = −cos x
- B. y = cos x + 1
- C. y = −cos x + 2
- D. y = sin x + 1
Answer: C) y = −cos x + 2
Explanation: dy = sin x dx → y = −cos x + C. Using y(0) = 1: 1 = −cos(0) + C = −1 + C → C = 2. Therefore, y = −cos x + 2.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.