(b)
(c)
(d)
Find the second derivative, , in terms of x and y. The region in
the xy-plane where all the solution curves to the differential equation
are concave down can be expressed as a linear inequality. Find this
region.
The function y = f(x) is the solution to the differential equation with
initial condition f(−1) = 0. Determine whether f has a local
maximum, local minimum, or neither at x = −1. Justify your answer.
For which values of m and b is the line y = mx + b a solution to the
differential equation?