Week - 1 |
Differential equations and their solutions |
Week - 2 |
Initial valua problem,boundary value problem |
Week - 3 |
Exact differential equations and integrating factors |
Week - 4 |
Separable equations and homogeneous equations |
Week - 5 |
Linear differential equations and Bernoulli equation. |
Week - 6 |
Riccati and Clairaut equation |
Week - 7 |
Applications of the first order differential equations to physical problems. |
Week - 8 |
Higher order linear equations and reduction of order. |
Week - 9 |
Higher order nonhomogeneous linear differential equation |
Week - 10 |
The method of undetermined coefficients |
Week - 11 |
Variation of parameters and operator method |
Week - 12 |
Systems of linear differential equations |
Week - 13 |
Cauchy Euler equation |
Week - 14 |
Power series solutions about an ordinary point |