Chapter 6: Q. 78 (page 573)
Prove Theorem 6.22 by solving the initial-value problem with T(0) = T0, where k and A are constants.
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Chapter 6: Q. 78 (page 573)
Prove Theorem 6.22 by solving the initial-value problem with T(0) = T0, where k and A are constants.
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find an equation that gives y as an implicit function of x. Then draw the continuous curve that satisfies this differential equation and passes through the point (2, 0).
Sketching disks ,washers and shells : sketch the three disks , washers , shells that result from revolving the rectangles shown in the figure around the given lines

The line
We have been given
Suppose your bank account grows at percent interest yearly, so that your bank balance after years is .
(a) Show that your bank balance grows at a rate proportional to the amount of the balance.
(b) What is the proportionality constant for the growth rate, and what is the corresponding differential equation for the exponential growth model of ?
Use antidifferentiation and/or separation of variables to solve each of the initial-value problems in Exercises 29–52.
33.What do you think about this solution?
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