First-Order ODEs:
Basic Concepts - Modeling, Concept of Solution, Initial Value Problem, Geometric Meaning of Direction Fields, Euler’s Method, Separable ODEs.
Second-Order Linear ODEs:
Homogeneous Linear ODEs with Constant Coefficients, Modeling of Free Oscillations of a Mass–Spring System, Nonhomogeneous ODEs, Modeling: Forced Oscillations. Resonance. Modeling: Electric Circuits. Solving the ODE for the Current in an RLCCircuit.