JEE Main 202325 Jan, Evening shiftMathematicsMediumDifferential Equations163× since 2002Let y=y(t)y=y(t)y=y(t) be a solution of the differential equation dydt+αy=γe−βt{{dy} \over {dt}} + \alpha y = \gamma {e^{ - \beta t}}dtdy+αy=γe−βt where, α>0,β>0\alpha > 0,\beta > 0α>0,β>0 and γ>0\gamma > 0γ>0. Then limt→∞y(t)\mathop {\lim }\limits_{t \to \infty } y(t)t→∞limy(t)AOption A. is 0BOption B. is 1COption C. is −1-1−1DOption D. does not existCheckSkip · show solution
