We
have to solve the equation to find
as
a function of
We
do this by putting all the
's
on the right and integrating. Normally when we integrate we have to
add a constant. We can find the value of this constant if we are told
a point on the curve.
O Level Additional Maths Notes: Solving Simple Differential Equations
Simple differential equations take the formWe
have to solve the equation to findas
a function ofWe
do this by putting all the
's
on the right and integrating. Normally when we integrate we have to
add a constant. We can find the value of this constant if we are told
a point on the curve.
For example, dy over
The
point
lies
on the curve. Findas
a function of
We now have to find C. We are told in the question that y=0 when x=5. Hence
Example:
The point
lies on the curve. Find y as a function of x.
We now have to find C. We are told in the question
that
when
Hence
Example
The
point
lies
on the curve. Findas
a function of
We now have to find C. We are told in the question
that
when
Hence
