Ordinary Differential Equations
Modelling change and solving the resulting equations.
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First-Order Differential Equations
Separable, linear, exact equations, and qualitative/slope-field analysis.
Second-Order Linear Equations
Constant coefficients, undetermined coefficients, variation of parameters, and oscillations.
Systems of Differential Equations
Eigenvalue methods, phase portraits, and stability.
Laplace Transform Methods
Transforms, inverse transforms, and solving initial-value problems.
Modelling with Differential Equations
Population, mixing, mechanics and circuit models.