Math 333 Logarithms Worksheet With Answers Page 13

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We plug u
and u
into expression (4) to get
1
2
2
3
2
3
x
(ln x)
x
(ln x)
2
2
y =
+ c
x
+
+ c
x
ln x.
1
2
3
2
2
2
2
Since c
x
+ c
x
ln x is the complementary solution in this problem, the particular
1
solution we seek is
2
3
x
(ln x)
Y (x) =
.
6

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