The diagram below shows a slope field. Homework Help ✎
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.