Ans:
when two quantities depend on each other (like speed and distance), then when an amount increase in one quantity causes a corresponding amount increase or decrease in the other quantity that is the same regardless of the value at which the measurement was taken, then that's linear.
Sounds a big horrible.
OK, if you drew a graph of one quantity against another, it would form a straight line, and we say it increases or decreases (depending on whether the graph is increasing or decreasing) linearly. it means in creases with a power of 1, with a common ratio for increasing values of x.
OK, what if it was y= ax^2? This is not linear, because it increases with a power of 2.
A linear line takes the form y = mx +c
where m is the ratio and c determines the point the graph cuts the x=0 line.
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Nonlinear do not satisfy the superposition principle. Linear problems, as implied, do.
linear system is like a chemistry equation or math equation where on both sides it must balance. Nonlinear is a math equation or physics that does not appear to have a direct answer just like chaos theory. lulu254ever
2.54 centimetres = 1 inch and tat is linear. There is no non-linear inch.
In linear dynamic systems, the motion traces out an orbit or trajectory in phase space that's a looping curve, mathematically predictable. In nonlinear systems the trajectory in phase space may be a fractal structure, leading to motion that is inherently unpredictable (chaos) from its equations of motion.
linear