Verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution. d²y - 85 dy dx² dx When y = c₁e4x + c₂xe¹x, dy dx d²y dx = + 16y=0; y = c₂e4x + ₂xe4x Thus, in terms of x, d²y dx² -8dy + 16y= dx + 16(CqeX + Cyxex)

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