question archive Reflect on the concepts of linear and non-linear systems

Reflect on the concepts of linear and non-linear systems

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Reflect on the concepts of linear and non-linear systems. What concepts (only the names) did you need to accommodate the concept of linear and non-linear systems in your mind? What are the simplest linear system and non-linear system you can imagine? In your day to day, is there any occurring fact that can be interpreted as linear systems and non-linear systems? What strategy are you using to get the graph of linear systems and non-linear systems?

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Linear systems in 2 dimensions would be equation of straight lines, meaning meaning equation with 2 variables which have power 1.they can be solved by plotting points on the graph.simplest linear system could be y = x.example of linear system could driving a car in different speeds for 1 hour could be modelled into linear system.non linear system in 2 dimensions could e equation in 2 variables , with any one variable having power more than 1.they can be plotted using calculus on graph.simplest equation can be y = x2.equation of circles is non linear in real life.linear equation can be solved by cramers's rule.