Suppose that y(x) is a non constant solution of the autonomous equation dy/dx = f ( y) and that c is a critical point of the DE. Discuss: Why can’t the graph of y(x) cross the graph of the equilibrium solution y = c? Why can’t f ( y) change signs in one of the sub regions discussed on page 39? Why can’t y(x) be oscillatory or have a relative extremum (maximum or minimum)?
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.