### Home > CALC > Chapter 12 > Lesson 12.1.3 > Problem 12-38

12-38.

The diagram below 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

. 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

. Find the equation of your solution curve. Once you integrate you should have

. Use the point to solve for the value of .