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Unformatted text preview: 8 1 Solutions 33. From Problem 20 the general solution is
we get
.
34. From Problem 21 the general solution is
. It follows that
get . At
. It follows that and . At we and . 35. From Problem 24 the general solution is
we get
. It follows that
.
36. From Problem 27 the general solution is
at
gives
. Hence
37. From Problem 28 the general solution is
at
gives
so . At
and . Evaluation
and
. Evaluation
. . Hence 38. From Problem 31 the general solution is
a
. Evaluation at
. If follows that
.
39. Implicit diﬀerentiation with respect to gives 40. Implicit diﬀerentiation with respect to gives gives
and and
and
. Thus
.
. 41. Diﬀerentiation gives
. However, from the given function we
have
. Substitution gives
.
42. Diﬀerentiation gives
we have
. and hence . However, from the given function
. Substitution gives ...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.
 Fall '08
 BELL,D

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