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Consider the Homogeneous Second-Order Cauchy Euler Differential Equation

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Consider the homogeneous second-order Cauchy Euler differential equation
Consider the homogeneous second-order Cauchy Euler differential equation For what value α does the solution of the initial value problem comprised of this differential equation and the initial conditions y(1) = α, (1) = 6 tend to 0 as t → ∞? Enter your answer as a simplified fraction. If there is no such value of α, enter 'none'.
For what value α does the solution of the initial value problem comprised of this differential equation and the initial conditions y(1) = α, Consider the homogeneous second-order Cauchy Euler differential equation For what value α does the solution of the initial value problem comprised of this differential equation and the initial conditions y(1) = α, (1) = 6 tend to 0 as t → ∞? Enter your answer as a simplified fraction. If there is no such value of α, enter 'none'. (1) = 6 tend to 0 as t → ∞? Enter your answer as a simplified fraction. If there is no such value of α, enter 'none'.

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