in Ordinary Differential Equation (ODE) recategorized by
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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

  1. $y(x) = C_1e^\frac{-x}{3} + C_2e^\frac{x}{2}$
  2. $y(x) = C_1e^\frac{x}{3} + C_2e^\frac{-x}{2}$
  3. $ y(x) = C_1xe^\frac{-x}{3} + C_2e^\frac{x}{2}$
  4. $ y(x) = C_1e^\frac{-x}{3} + C_2xe^\frac{x}{2}$
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