Question

difference between ODE and PDE?give me some examples

Answer 1

The ODE has one variable, the PDE is more than one, like a standard derivative (function with one independent variable) and a partial derivative (function with more than one independent variable).

Answer 2

what is the independent variable?

Answer 3

In calculus, a function is a map whose action is specified on variables. Take x and y to be two variables. A function f may map x to some expression in x. Assigning gives a relation between x and y. If there is some relation specifying y in terms of x, then y is known as a "dependent variable" (and x is an "independent variable").

Answer 4

what is the mapping?