Ordinary Differential Equations (eBook)

Raza A. Tahir-Kheli studied physics at Islamia College, Peshawar (Pakistan) before joining, in October 1955, Oriel College, University of Oxford. He completed the degrees of Master of Arts and Doctor of Philosophy in 1962. His employment was:  (1) Junior Demonstrator, Oxford University  October (1958) to  June (1960) (2) Research Associate-Teaching, University of Pennsylvania, Department of Physics, (1962) to (1964). (3) Atomic Energy Commission, Pakistan . (1964) to (1966) (4) Temple University, Philadelphia  PA 19122. USA: Assistant Professor of Physics, (1966)-(1968) Associate Professor of Physics, (1968)-(1971) Professor of Physics, (1971) to July, (2011) Professor Emeritus (2011) His other employments including sabbaticals were: Royal Society Visiting Professor, Department of Theoretical Physics, University of Oxford (1982) Two sabbaticals, at the Dept. of Theoretical Physics, University of Oxford Professeur de Echange, Centre Scientifique, d'Orsay, France Sabbatical at Department of Physics, University of California, at Santa Barbara. Visiting Professor, Institut Laue -Langevin, Grenoble ,France Sabbatical at Max-Planck Institut fuer Physik  

1. Ordinary Differential Equations: Theory and Practice. 2. The Runge-Kutta approximation: Linear Ordinary Differential Equation 3. Bernouilli Equation: Ordinary Differential Equation 4. Clairaut Equation: Ordinary Differential Equation 5. Lagrange Equation: Ordinary Differential Equation 6. Euler Equation: Ordinary Differential Equation 7. Method of Undetermined Coefficients: Linear Ordinary Differential Equation 8. Exact and Inexact  Differential Equations 9. Factorable Differential Equations 10. Order Reduction of Differential Equations 11. Under-Damped Anharmonic Motion 12. Critically Damped Anharmonic Motion 13. Over Damped Anharmonic Motion 14. Electric Current  and Charge transfer in finite and infinite arrays of Resistors 15. Electric Current and Charge transfer in finite and infinite arrays of Inductors 16. Electric Current and Charge transfer in finite and infinite arrays of Capacitors 17. Finite and Infinite arrays of Conductors, Inductors and Capacitors 18. Frobenius Solution 19. Bessels Equations 20. Numerical Solution