solutions of ordinary differential equation
Let us consider the ordinary differential equation
of order .
The general solution of (1) is a function
satisfying the following conditions:
a) depends on arbitrary constants .
b) satisfies (1) with all values of
c) If there are given the initial conditions
, , , , when
then one can chose the values of such that fulfils those conditions (supposing that belong to the region where the conditions for the existence of the solution are valid).
Each function which is obtained from the general solution by giving certain concrete values for , is called a particular solution of (1).
|Title||solutions of ordinary differential equation|
|Date of creation||2013-03-22 16:32:16|
|Last modified on||2013-03-22 16:32:16|
|Last modified by||pahio (2872)|