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'.

Question

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'.

Quizplus · Accepted Answer

The Answer of 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'.

Consider the Homogeneous Second-Order Cauchy Euler Differential Equation