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    Elementary Differential Equations
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    Exam 3: Second-Order Linear Differential Equations
  5. Question
    Consider the Homogeneous Second-Order Cauchy Euler Differential Equation
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Consider the Homogeneous Second-Order Cauchy Euler Differential Equation

Question 84

Question 84

Essay

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) = 4 remain bounded as   ? 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) = 4 remain bounded as   ? Enter your answer as a simplified fraction. If there is no such value of α, enter 'none'. (1) = 4 remain bounded as 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) = 4 remain bounded as   ? Enter your answer as a simplified fraction. If there is no such value of α, enter 'none'. ? Enter your answer as a simplified fraction. If there is no such value of α, enter 'none'.

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