Topic: Engineering Mathematics
The solution of the equation y'' + y = 0 satisfy the condition y(0) = 1, y(pi/2) = 2, is
- A. cos x + 2 sin x
- B. cos x + sin x
- C. 2 cos x + sin x
- D. 2(cos x + 2 sin x)
Answer: A. cos x + 2 sin x
Explanation: The general solution is y = C1*sin(x) + C2*cos(x). Using y(0) = 1 gives C2 = 1. Using y(pi/2) = 2 gives C1 = 2. Therefore, the equation becomes y = 2*sin(x) + cos(x).