ENGR 213
Concordia University ( )
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3.11 non-linear models (Telephone wires, rocket motion, pulled rope)
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Cheat sheet ENGR 213
- Summary • 18 pages • 2020
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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, ...
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webwork 6
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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
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webwork 2
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2.1 Solution curves without a solution 
2.2 Separable Equations 
2.3 Linear Equations
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webwork 5
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3.1 Theory of linear equations 
3.3 Homogeneous linear equations with constant coefficients 
3.4 Undetermined coefficients
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webwork 7
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3.5 variation of parameters 
3.6 Cauchy euler Equations 
3.7 Nonlinear equations, reduction of order
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webwork 8
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10.1 Theory of Linear systems 
10.2 Homogeneous Linear systems 
10.4 Non-homogeneous Linear systems
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webwork 3
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2.2 Separable Equations 
2.3 Linear Equations 
2.4 Exact Equations, integrating factors 
2.5 Solutions by Substitution (Bernoulli, homogeneous, linear substitution)
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webwork 4
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2.7 Linear models(growth/decay, heating/cooling, circuits, mixtures) 
 
2.8 Non-linear models (Population dynamics, logistic equation, chemical 
 reaction, leaking tank)
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Webwork 1
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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
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