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ODE . Please this is a first order question. Dont use laplace transformation Find the solution...

ODE . Please this is a first order question. Dont use laplace transformation

Find the solution to the following IVP in terms of α . Find all possible long term behaviors of the solution at t →∞ . If this behavior depends on the value of α give this dependence. y'-8y(t)= 4e^-2t -e^3t            y(0)= 4-2α^2

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