Assertion (A): One of the particular solutions of the differential equation (d y)/(d x)= e^x + y can be e^x + e^- y =-2. Reason (R): e^x + e^- y = C…

Assertion (A) : One of the particular solutions of the differential equation $\displaystyle \frac{d \mathrm{y}}{d \mathrm{x}}=\mathrm{e}^{\mathrm{x}+\mathrm{y}}$ can be $\displaystyle \mathrm{e}^{\mathrm{x}}+\mathrm{e}^{-\mathrm{y}}=-2$. Reason (R) : $\displaystyle \mathrm{e}^{\mathrm{x}}+\mathrm{e}^{-\mathrm{y}}=\mathrm{C}$ is the general solution of the differential equation $\displaystyle \frac{\mathrm{dy}}{\mathrm{dx}}=\mathrm{e}^{\mathrm{x}+\mathrm{y}}$.