Question of the Week

The solution of ordinary differential equation $\frac{d^{2}x}{dx^{2}} + \frac{dx}{dy} - 6y=0$ is

A) y = c_1e^3x + c_2e^-2x

B) y = c_1e^3x + c_2e^2x

C) y = c_1e^-3x + c_2e^2x

D) y = c_1e^-3x + c_2e^-2x

The correct answer is C (y = c_1e^-3x + c_2e^2x)