## 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 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