Week - 1 |
Power series solutions about an ordinary point. |
Week - 2 |
Regular singular points and Frobenius Method. |
Week - 3 |
Exceptional cases. |
Week - 4 |
Bessel differential equations. |
Week - 5 |
Differential operators and operator medhod. |
Week - 6 |
Basic theory of linear systems in normal form. |
Week - 7 |
Homogeneous Linear Systems with constant coefficients. |
Week - 8 |
The matrix method for Homogeneous Linear systems with constant coefficients.. |
Week - 9 |
The cases of complex and repeated eigenvalues. |
Week - 10 |
Some applications of homogeneous linear systems. |
Week - 11 |
The Laplace transformations. |
Week - 12 |
The inverse Laplace transformations. |
Week - 13 |
Laplace transform solution of linear differential equations with constant coefficients. |
Week - 14 |
Laplace transform solution of linear systems. |