IDC205 Differential Equations for Scientists

IDC205 Differential Equations for Scientists

IDC205 Differential Equations for Scientists

IDC205: Differential equations for scientists

[Cr:2, Lc:2, Tt:0, Lb:0]

Course Outline

  • Meaning of a differential equation and its solution, examples, families of curves, orthogonal trajectories.
  • First order equations: Homogeneous, exact, linear, Bernoulli, Riccati and Clairaut equations, equations reducible to first order equations.
  • Second and higher order linear equations, linear equations with constant coefficients, general solution of homogeneous equations, operator method for finding a particular solution, vibra- tions in mechanical and electrical systems. Power series method: Legendre, Hermite, Bessel and hypergeometric equation.
  • Special functions: Legendre, Hermite and Chebychev polynomials, Bessel functions and appli- cations.

Recommended Reading

  • Earl A. Coddington, An Introduction to Ordinary Differential Equations, Dover Publications (1989).
  • Ravi P. Agarwal and Donal O’Regan, Ordinary and Partial Differential Equations, Springer (2008).
  • Shepley L. Ross, Differential Equations, Wiley (1984).
  • George F. Simmons, Differential Equations with Applications and Historical Notes, Tata McGraw-Hill Publishing Company (1978).

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