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Mathematics
Mathematics
Problem
If
y
=
(
tan
−
1
x
)
2
y = (\tan^{-1} x)^2
y
=
(
tan
−
1
x
)
2
, show that
(
x
2
+
1
)
2
y
2
+
2
x
(
x
2
+
1
)
y
1
=
2
(x^2 + 1)^2 y_2 + 2x(x^2 + 1) y_1 = 2
(
x
2
+
1
)
2
y
2
+
2
x
(
x
2
+
1
)
y
1
=
2
.
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