Given that y(t) = c1e^{6t} + c2e^{-6t} is a solution to the differential equation y'' - 36y = 0, where c1 and c2 are arbitrary constants, find a function y(t) that satisfies the conditions • y'' - 36y = 0, • y(0) = 4, • lim_{t ? -?} y(t) = 0. y(t) = help (formulas)
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We are given the solution to the differential equation: \(y(t) = C_1 e^{bt} + C_2 e^{-6t}\). Show more…
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