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Mathematics
Mathematics
Problem
17. If
y
=
(
tan
−
1
x
)
2
y=\left(\tan ^{-1} x\right)^{2}
y
=
(
tan
−
1
x
)
2
, show that
(
x
2
+
1
)
2
y
2
+
2
x
(
x
2
+
1
)
y
1
=
2
\left(x^{2}+1\right)^{2} y_{2}+2 x\left(x^{2}+1\right) y_{1}=2
(
x
2
+
1
)
2
y
2
+
2
x
(
x
2
+
1
)
y
1
=
2
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