MA 108: Differential Equations

Course Code MA 108
Course Name Differential Equations
Lecture 3
Tutorial 0
Practical 1
Credit 4
Reference 1. E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley (1999).2. W. E. Boyce and R. DiPrima, Elementary Differential Equations (8th Edition), John Wiley (2005).3. T. M. Apostol, Calculus, Volume 2 (2nd Edition), Wiley Eastern, 1980.
Description Exact equations, integrating factors and Bernoulli equations.Orthogonal tra jectories.Lipschitz condition, Picard302222s theorem, examples on nonuniqueness.Linear differential equations generalities.Linear dependence and Wronskians.Dimensionality of space of solutions, Abel-Liouville formula.Linear ODE302222s with constant co efficients, the characteristic equations.Cauchy-Euler equations.Metho d of undetermined co efficients.Metho d of variation of parameters.Laplace transform generalities.Shifting theorems.

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