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

Consider the differential equation \(\left( {{t^2} - 81} \right)\frac{

1.	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
A.	(–2, 2)
B.	(–10, 10)
C.	(–10, 2)
D.	(0, 10)
Answer» B. (–10, 10)

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