Distinguishing Between Linear And Non Linear Differential Equations Mathematics Stack Exchange
132 21 A nonlinear di erence equation y = x, then given xn we can nd xn1 by drawing a line up to f(xn), then over to y = x, and back down to the x axis to give xn1 There is a term in x^2 so the function is not linear It is a parabola The word 'linear' means 'in a straight line' The equation of a straight line has the general form ax by c" "larr an xterm, a yterm and a number term the variables do not have powers more than 1, variables do not occur in the denominator of a fraction different variables do not appear in the same term In this
