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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 .