# 5: Second Order Ordinary Differential Equations

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##### Chapter Objectives
• Be able to obtain the general solution of any homogeneous second order ODE with constant coefficients.
• Be able to obtain particular solutions when initial conditions are given.
• Understand how to solve the equation of motion of a pendulum and a spring in non-viscous and viscous media.
• Understand how to solve the Schrödinger equation for the one dimensional particle in the box. Obtain the normalized eigenfunctions and the eigenvalues.

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