complementary functions and particular integrals. Real, complex and repeated roots of characteristics equations
Book: Erwin Kreyzing , "Advanced Engineering Mathematics", John Wiley. (latest Ed)
Chapter 2: page 64-70
Course Material
- Introduction , basic concepts of differential equation(D. E); geometrical interpretation of first order D. E
- Separable equations and Reducible to Separable form,
- Exact D. E ,Integrated factors and Linear first order D.E
- Bernoulli‟s D, E and Families of curves
- Homogeneous linear D.E of second order
- homogeneous D. E with constant coefficients and general solutions
- Initial and boundary value problems, D- operator
- complementary functions and particular integrals. Real, complex and repeated roots of characteristics equations
- Mid Term Exam
- Cauchy equation and Applications of higher order linear differential equations
- Ordinary and regular points and corresponding series solutions.
- Legendre equations
- Bessel Function
- Gaussian Elimination Techniques
- RREF, Rank of Matrix
- Inverse of Matrix by Using G. E
- Application of Eign Value and Eign Vectors
- Final Exam
- Chapters 18
- Department Mechanical Engineering
- Teacher
Ms. Farhat Imtiaz
