MIDTERM 2 TOPICS
- Second-order linear equations: Complex and repeated roots of the characteristic equations: reduction of order, inhomogeneous equations: methods of undetermined coefficients and variation of parameters, michanical vibrations, forced oscillations and resonances.
- Laplace Transform: definition and main properties, solutions of initial value problems for second-order ODEs, ODEs with discontinuous forcing, inpulse functions, convolution integrals.
- Systems of first-order ODEs: reduction of higher-order ODEs to system of first-order equations, systems of linear algebraic equations: eigenvalues and igenvectors, homogeneous systems of first-order, constant-coefficient ODEs: phase portraits (the case of distinct, real eigenvalues).
© Anna Mazzucato Last modified: Sun March 27, 19:23 EDT 2011