0 votes 0 votes Consider the differential equation $(t^{2}-81)\frac{dy}{dt}+5t y=\sin(t)$ with $y(1)=2 \pi$. There exists a unique solution for this differential equation when $t$ belongs to the interval $(-2, 2)$ $(-10, 10)$ $(-10, 2)$ $(0, 10)$ Differential Equations gate2017-ee-1 differential-equations + – Arjun asked Feb 26, 2017 • recategorized Mar 9, 2021 by Lakshman Bhaiya Arjun 15.9k points answer comment Share See all 0 reply Please log in or register to add a comment.