An ordinary differential equation is given below
$$6\dfrac{d^2y}{dx^2}+\frac{dy}{dx}-y=0$$
The general solution of the above equation (with constants $C_1$ and $C_2$), is
- $y(x) = C_1e^\frac{-x}{3} + C_2e^\frac{x}{2}$
- $y(x) = C_1e^\frac{x}{3} + C_2e^\frac{-x}{2}$
- $ y(x) = C_1xe^\frac{-x}{3} + C_2e^\frac{x}{2}$
- $ y(x) = C_1e^\frac{-x}{3} + C_2xe^\frac{x}{2}$