BuyFind

Calculus

10th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781285057095
BuyFind

Calculus

10th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781285057095

Solutions

Chapter 8.5, Problem 46E

(a)

To determine

To graph: The possible solution of the differential equation dydt=3(3y) on the provided slope field (Refer to the figure provided in the question) when y(0)=5 and another when y(0)=12.

(b)

To determine

The sign of the slope of the solution of the differential equation dydt=3(3y), where y(0) is greater than 3.

(c)

To determine

The value of the limit limty(t), for y>0 for the solution of the differential equation dydt=3(3y) using the provided slope filed (Refer to the figure provided in the question).

(d)

To determine

To calculate: The integral dyy(Ly)=kdt and solve for y as a function of t.

(e)

To determine

To calculate: The solution of the differential equation dydt=3(3y) when y(0)=5 and another when y(0)=12 using the result obtained in part (d) and to graph them.

(f)

To determine

To prove: The rate of growth is maximum at the point of inflection and that occurs at y=L2 for the differential equation dydt=ky(Ly).

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