A
Level Maths Notes: C2 – Differential Equations
We well know how to find the
gradient function of a curve,
We
just differentiate the function we have for
We
also need to be able to find y if we are givenTo
do this we have to integrate. When we integrate we obtain a function
of
but
the function we obtain is not fixed until we have a point on the
curve. This is because if we differentiate y to find
then
any constant term, for example
disappears.
Hence when we integrate, we add an arbitrary constant. We find the
value of this constant by substituting a point on the curve into the
equation.
Example:
when
Find
y as a function of
