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Differential Equations: Course Outline For Electrical Engineering (BS-222)

A differential equation contains one or more terms involving derivatives of one variable (the dependent variable, y) with respect to another variable (the independent variable, x)

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Course Outline

Ordinary Differential Equations of the First Order:

  • Geometrical Considerations
  • Isoclines
  • ​Separable Equations
  • Equations Reducible to Separable Form
  • Exact Differential Equations
  • Integrating Factors
  • Linear First-Order Differential Equations
  • Variation of Parameters
  • Ordinary Linear Differential Equations

Homogeneous Linear Equations of the Second Order:

  • Homogeneous Second-Order Equations with Constant Coefficients
  • General Solution
  • Real Roots
  • Complex Roots
  • Double Root of the Characteristic Equation, Differential Operators
  • Cauchy Equation
  • Homogeneous Linear Equations of Arbitrary Order
  • Homogeneous Linear Equations of Arbitrary Order with Constant Coefficients
  • Non-homogeneous Linear Equations
  • Modeling of Electrical Circuits
  • Systems of Differential Equations
  • Series Solutions of Differential Equations

Partial Differential Equations:

  • Method of Separation of variables
  • Wave
  • Heat equations
  • Laplace equations
  • Heat & Laplace equations  solutions by Fourier series method.

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