Week 12: Real, complex and repeated roots of characteristics equations.
Course Material
- Week 1: Introduction to D.E.
- Week 2: Separable D.E. and Reduible to Separable D.E.
- week 3: Exact D. E, and their solutions
- week 4: integrated factors, Linear first order differential equations
- Week 5: Bernoulli’s differential equation and related prob.
- Week 6 : Families of curves, orthogonal trajectories and applications of differential equations of first order to relevant engineering systems.
- Week 7: Homogeneous linear differential equations of second order
- Week 8: homogeneous equations with constant coefficients, the general solutions,
- Week 9 : Mid term Exam
- Week 10 : Initial and boundary value problems,
- Week 11: D- operator, complementary functions and particular integrals.
- Week 12: Real, complex and repeated roots of characteristics equations.
- Week 13: Cauchy equation,
- Week 14 : non-homogeneous linear equations
- Week 15 : Applications of higher order linear differential equations.
- Week 16 : Ordinary and regular points and corresponding series solutions. Concept of Sequence and Series
- Chapters 16
- Department Civil Engineering
- Teacher
Mr. Ali Asghar
