Differential Equations

The differential equation $\frac{d^2 y}{dx^2} - 4 \frac{dy}{dx} + 4y = 0$ has the general solution:

Options:

• (A) y = (c_1 + c_2 x) e^{2x}
• (B) y = c_1 e^{2x} + c_2 e^{-2x}
• (C) y = (c_1 + c_2 x) e^{-2x}
• (D) y = c_1 \cos(2x) + c_2 \sin(2x)