Initial Value Problems (IVP)
Wednesday, 15 August 2018
1:23 PM
An initial value problem is an ODE together with a set of values of the solution at some fixed point
Basic Example
is an IVP. To find the solution, we first find
the general solution which is_files/image001.png){kind=small}
_files/image002.png){kind=small}
means when , .
Substituting and , then . Hence the solution is _files/image003.png){kind=small}
Solution by Direct Integration
Eg. Solve _files/image004.png){kind=small}
_files/image005.png){kind=small}
_files/image006.png){kind=small}