| 1 | Title of the course (L-T-P-C) |
Differential Equations - I (2nd Half) (3-1-0-4) |
| 2 | Pre-requisite courses(s) | Nil |
| 3 | Course content | Exact equations, integrating factors and Bernoulli equations. Orthogonal trajectories. Lipschitz condition, Picard's theorem, examples on non-uniqueness. Linear differential equations generalities. Linear dependence and Wronskians. Dimensionality of space of solutions, Abel-Liouville formula. Linear ODE's with constant coefficients, the characteristic equations. Cauchy-Euler equations. Method of undetermined coefficients. Method of variation of parameters. Laplace transform generalities. Shifting theorems. Convolution theorem. |
| 4 | Texts/References |
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