Second Order Differential Equations

A second order differential equation is an equation involving the unknown function y, its derivatives y' and y'', and the variable x. We will only consider explicit differential equations of the form,

• Nonlinear Equations
• Linear Equations
• Homogeneous Linear Equations
• Linear Independence and the Wronskian
• Reduction of Order
• Homogeneous Equations with Constant Coefficients
• Non-Homogeneous Linear Equations
  • Method of Undetermined Coefficients
  • Method of Variation of Parameters
• Euler-Cauchy Equations
• Some Applications

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