Question

If \( y'(x) = 2y \), \( y(x) \ge 0 \) and \( y(0) = e^2 \), then \( y(x) = \)

• A. \( e^{x/2 + 2} \)
• B. \( e^{2x} \)
• C. \( e^{x/2} \)
• D. \( e^2 e^{2x} \)
• E. \( e^{2x} + 2 \)

Hint:

First solve general solution, then apply initial condition.

Answer 1

The Correct Option is D