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

12-38.

The diagram below shows a slope field. Homework Help ✎

Explain why

must be a function of both *x*and*y*.Sketch a solution curve that passes through (0, 3).

The slope field is for the differential equation

. Find the equation of your solution curve.

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.

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