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 overThe
pointlies
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
thatwhenHence
ExampleThe
pointlies
on the curve. Findas
a function of
We now have to find C. We are told in the question
thatwhenHence
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