Explain why the functions with the given graphs can't be solutions of the differential equation dy dt = et(y − 1)2.
1 answer:
Please see attached document for the graphs:
The functions with the given graphs can't be solutions of
the differential equation dy dt = et(y − 1)2.
(a) won’t work, since it has negative slope on portions of its solutions. The
slope, e t (y − 1)2 , is a nonnegative function.
(b) won’t work, since it has positive slope at y = 1, where the slope must be flat.
You might be interested in
Answer:
Step-by-step explanation:
To find your slope using two points, use the slope formula.
Your y1 term is -5, your y2 term is 4.
Your x1 term is -2, your x2 term is 4.
Now that we have your slope, you can use the slope and one of your points in point-slope form to find your y-intercept.