CPM Homework Help : CALC Problem 12-38

The diagram below shows a slope field. Homework Help ✎
1. Explain why must be a function of both x and y.
2. Sketch a solution curve that passes through (0, 3).
3. The slope field is for the differential equation . Find the equation of your solution curve.

Hint (a):

Are the slopes in the diagram parallel anywhere?

Your curve should look like a bell-shaped curve with a maximum at (0, 3) and a horizontal asymptote of y = 0.

Step (c):

Once you integrate you should have a '+ C'. Use the point (0, 3) to solve for the value of C.