Concordia University ( ) • Software Engineering

3.11 non-linear models (Telephone wires, rocket motion, pulled rope)

Cheatsheet of these topics 1.1 Definition and Terminology 1.2 Initial Value Problems 2.1 Solution curves without a solution 2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations, integrating factors 2.5 Solutions by Substitution (Bernoulli, homogeneous, linear substitution) 1.3 Differential equations as Mathematical models 2.7 Linear models(growth/decay, heating/cooling, circuits, mixtures) 2.8 Non-linear models (Population dynamics, logistic equation, chemical reaction, ...

3.1 Theory of linear equations 3.3 Homogeneous linear equations with constant coefficients 3.4 Undetermined coefficients 3.5 variation of parameters 3.6 Cauchy euler Equations

2.1 Solution curves without a solution 2.2 Separable Equations 2.3 Linear Equations

3.1 Theory of linear equations 3.3 Homogeneous linear equations with constant coefficients 3.4 Undetermined coefficients

5.1.2 Power series solutions 10.1 Theory of Linear systems 10.2 Homogeneous Linear systems 10.4 Non-homogeneous Linear systems

10.1 Theory of Linear systems 10.2 Homogeneous Linear systems 10.4 Non-homogeneous Linear systems

2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations, integrating factors 2.5 Solutions by Substitution (Bernoulli, homogeneous, linear substitution)

2.7 Linear models(growth/decay, heating/cooling, circuits, mixtures) 2.8 Non-linear models (Population dynamics, logistic equation, chemical reaction, leaking tank)

1.1 Definition and Terminology 1.2 Initial Value Problems 2.1 Solution curves without a solution 2.2 Separable Equations 2.3 Linear Equations

3.5 variation of parameters 3.6 Cauchy euler Equations 3.7 Nonlinear equations, reduction of order