Home > APCALC > Chapter 12 > Lesson 12.1.3 > Problem 12-35
12-35.
The diagram at right shows a slope field.
Explain why
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 .