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Byju's Answer
Standard XII
Mathematics
General Solution of a Differential Equation
Express h -...
Question
Express
sec
h
−
1
x
in logarithmic form for
0
<
x
<
1
.
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Solution
Let
s
e
c
h
−
1
x
=
y
⇒
x
=
s
e
c
h
y
⇒
x
=
2
e
y
+
e
−
y
⇒
x
e
2
y
−
2
e
y
+
x
=
0
⇒
e
y
=
1
±
√
1
−
x
2
x
⇒
y
=
l
n
(
1
±
√
1
−
x
2
x
)
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