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Consider the differential equation $$\left( {{{\text{t}}^2} - 81} \right)\frac{{{\text{dy}}}}{{{\text{dt}}}} + 5{\text{ty}} = \sin \left( {\text{t}} \right)$$      with y(1) = 2π. Thereexists a unique solution for this differential equation when t belongs to the interval

Consider the differential equation $$\left( {{{\text{t}}^2} - 81} \right)\frac{{{\text{dy}}}}{{{\text{dt}}}} + 5{\text{ty}} = \sin \left( {\text{t}} \right)$$      with y(1) = 2π. Thereexists a unique solution for this differential equation when t belongs to the interval Correct Answer (-2, 2)

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