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

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.