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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)

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.