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• Week 01: Introduction of differential equation (DE), Separable equations
• Week 02: Equations reducible to separable form and Related problems
• Week 03: Exact differential equations and integrated factor
• Week 04: Linear first order differential equations and Bernoulli’s differential equation
• Week 05: Families of curves, orthogonal trajectories and applications of differential equations.
• Week 06: Homogeneous linear differential equations of second order
• Week 07: Homogeneous equations with constant coefficients. The general solutions.
• Week 08: Initial and boundary value problems, D- operator.
• Week 09: Mid Term Exam
• Week 10: Complementary functions and particular integrals
• Week 11: Complex and repeated roots of characteristics equations.
• Week 12: Cauchy Equations.
• Week 13: Non-homogeneous linear equations.
• Week 14: Applications of higher order linear differential equations.
• Week 15: Ordinary and regular points and corresponding series solutions.
• Week 16: Concept of sequences
• Week 17: Concept of series
• Week 18: Final Term