About the math involved in some physics equations ?

Jun 2017
65
3
India
I have some questions about the kind of math involved in some physics equations .

Someone said many physics equations involve Ordinary and Partial differential equations

What sort of Ordinary or Partial differential equations are involved in Maxwell equations and Schrodinger equations ?

These are some rough notes i made while trying to learn differential equations and programming

I am not sure if the things i wrote down are right ?


Derivative is the rate of change of the dependent variable y with respect to the independent variable x , which is a number

Differential equations are equations which involve one or more derivatives or the rate of change of the dependent variable y with respect to the independent variable x , or dy/dx , which is a number ...

Which is a number in an unknown function

Partial derivative


The character ∂ is a stylized d mainly used as a mathematical symbol to denote a partial derivative such as ∂z / ∂x (read as "the partial derivative of z with respect to x")
A derivative of a function of two or more variables with respect to one variable , the other(s) being treated as a constant


Partial differential equation

An equation containing one or more partial derivatives .
The character ∂ is a stylized d mainly used as a mathematical symbol to denote a partial derivative such as ∂z / ∂x (read as "the partial derivative of z with respect to x")
Ordinary differential equations for ex dy/dx tells something about the relation between dependent variable y to the independent variable x ... which is a number of a certain variables in an unknown function

Partial differential equations for ex SquigglyDy/dx tells something about the relation between dependent variable y to the independent variable x ... which is a number of a certain variables in an unknown function
What does the variables in those equations represent ?
 

mathman

Forum Staff
May 2007
6,933
775
For physicists the variables are whatever is being considered, such as time, length, energy, etc. The mathematical treatment doesn't require any knowledge of physical meaning.
 
Jun 2017
65
3
India
Thanks . The things i wrote down inside the quotes are sort of OK too right ?

:ninja: