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How linear equations related to your life?
I never need them :D
How linear equations came in to use?
There are many real life situations in which two variables are related through a linear equation. Some examples from those used in schools: Temperature in Celsius and Fahrenheit scales Manufactrunig costs as fixed costs plus unit costs Cab fares as fixed amount plus distance-related amount Workmen charges as call out plus hourly rate
What is a real life example of a linear pair?
Linear functions are used to model situations that show a constant rate of change between 2 variables. For example, the relation between feet and inches is always 12 inches/foot. so a linear function.What_is_a_real_life_example_of_bay
What are the applications of ordinary differential equations in your life?
If you are a scientist, engineer or mathematician, there are too many examples to list. If you aren't, then there are basically none, except in finance.
Using linear equations in real life?
I image you intends algebraic linear equations. A great number of problems in real life are mathematically model with algebraic linear equations like - Design of electronic filters for any application (smart-phones, stereo systems, radio systems, ....) - Optimization of the any problem that can be modeled with the so called simplex algorithm (commercial programs uses this set of linear equations to optimize management of a civil airplane company, of the production in a car factory, of the management of a warehouse and many other problems) - The determination of currents and voltages in an electrical circuit composed of resistances, inductive elements, capacitors and ideal amplifiers can be done by a system of algebraic linear equations; This is only a very limited set of examples. However in mathematics any equation, not only algebraic, but also integral, differential and so on, is called linear if the sum of two solutions is again a solution and the product of a solution by a number is again a solution. You can easily verify that it is true also for homogeneous algebraic equations (that is linear angebraic equations without the known term). For example if we have the two unknown x and y the equation 2x+y=0 is linear. As a matter of fact, since x=1, y=-2 is a solution and x=-2, y=4 is another solution, also the sum of the two solutions, that is x=-1, y=2 is another solution. If we adopt this extended definition, the quantum mechanical basic equations are linear, thus we can say that, up to the moment in which we do not consider cosmic bodies for whom gravity is important, the whole world is linear !!
