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2nd order linear differential equations with constant coefficients
3rd order linear systems
4th order linear systems
Amplitude, frequency, phase
Ballistic equations
Boundary value problem and initial value problem
Classification of the 2nd order linear systems
Euler method
Exact dfferential equations
Examples and overdamped, critically damped, under damped oscillators, also transient and stable solutions
Final test
General solution for the 3rd order linear system
IVP, complex eigenvalues
Improved Euler method. 2nd order linear differential equations with constant coefficients
Impulse or Dirac function
Initial and boundary value problems
Integrating
Laplace
Line integrals
Linear dependence & Linear systems
On potential vector fields
Phase portraits
Properties of Laplace transform
River current and solutions of the 1st order differential equations
Saddles, broken spirals, spirals, nodes and dicritical nodes
Separable and exact equations
Table of Laplace transforms
Test
The Heaviside step function & method of underdetermined coefficients
Variation of parameters