Solution of Cauchy Euler Equation with Repeated Roots

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This video shows how to solve a Cauchy-Euler Equation, which is a linear ordinary differential equation (ODE) with variable coefficients, and whose roots to its Associated Quadratic Equation are repeated. After finding the repeated root, along with the first linearly independent solution, the video uses an integral formula to find the second linearly independent solution, and hence the final, general, solution.
  1. Stephen Mason
  2. Cauchy-Euler Equation
  3. Ordinary Differential Equation
  4. ODE
  5. Auxiliary Quadratic Equation
  6. AQE
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