Examples
A simple example is to solve and . We are trying to find a formula for that satisfies these two equations.
Start by noting that, so
Now rearrange the equation so that is on the left and on the right
Now integrate both sides (this introduces an unknown constant ).
Eliminate the
Let be a new unknown constant, so
Now we need to find a value for . Use as given at the start and substitute 0 for and 19 for
this gives the final solution of .
- Second example
The solution of
can be found to be
Indeed,
Read more about this topic: Initial Value Problem
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