example of ordinary differential equation and partial differential equation.
Hi nice and Your pic shows You are Passionate about photography........ nice pic ;) Here's and URL for the question above presented by KHAN ACADEMY : http://www.khanacademy.org/math/differential-equations/v/what-is-a-differential-equation
Well he explained it. A differential equation is non-linear if the function or its derivative (of any order) is multiplied to itself or to any of its derivatives. e.g. x.(d^2y/dx^2)+dy/dx+5=0 is linear x.(d^2y/dx^2)^2=sin(x) is non-linear since the 2nd derivative is multiplied to itself. y.(d^2y/dx^2)=sin(x) is non-linear since the 2nd derivative is multiplied to the function y.
thnx
medal
id like to ask which is the partial and the ordinary?
ODE: y'+y''-y+x=0
PDE: involves the |dw:1338899060635:dw| or f(blah,blah)
a layman's view: ODE are hard. PDE are harder.
inkyvoyd i think you got that backwards \[y_x=\partial_xy=\frac{\partial y}{\partial x}\]|dw:1338899194025:dw|
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