The diagram at right shows a slope field.
must be a function of both and .
Are the slopes in the diagram parallel anywhere?
Sketch a solution curve that passes through the point
Your curve should look like a bell-shaped curve with a maximum at
and a horizontal asymptote of .
The slope field is for the differential equation
. Write the equation of your solution curve.
Once you integrate you should have a
'. Use the point to solve for the value of .