can anyone explain to me what is the different between non linear and linear in partial differences equation(PDE)....plz
2007-02-08 21:23:29 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
linear is when its like y'+y=t. it is not linear if it has any y power raised to a power. im not good at explaining, but i can give you examples of linear and non-linear and you can figure it out for yourself.
LINEAR
y"+y'=7t
y''''-y=0
6y+ty'+y"=sint
NON LINEAR
y"y^2+siny=t
y^3=0
cosy+y'+y"=12t
2007-02-08 22:02:39 · answer #1 · answered by urban people 3 · 0⤊ 0⤋
In a PDE where f is the dependent variable and x, y etc are the independent variables, if it contains f and its partial derivatives with respect to x,y etc upto the first power, it is called linear PDE, otherwise it is Non-linear.
2007-02-08 22:07:44 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Linear PDE are easier to solve, whilst non-linear are much more difficult.
2007-02-08 23:31:57 · answer #3 · answered by The exclamation mark 6 · 0⤊ 0⤋