engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Differential Equations First Order Equations
Consider the differential equation \(\left( {{t^2} - 81} \right)\frac{{dy}}{{dt}} + 5ty = \sin \left( t \right)\) with y(1) = 2π. There exists a unique solution for this differential equation when t belongs to the interval
1
(–2, 2)
2
(–10, 10)
3
(–10, 2)
4
(0, 10)