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Mathematics
Mathematics
Problem
If
y
1
/
m
=
(
x
+
1
+
x
2
)
y^{1/m}=\left(x+\sqrt{1+x^2}\right)
y
1/
m
=
(
x
+
1
+
x
2
)
, then
(
1
+
x
2
)
y
2
+
x
y
1
(1+x^2)y_2+xy_1
(
1
+
x
2
)
y
2
+
x
y
1
is (where
y
r
y_r
y
r
represents the
r
r
r
th derivative of
y
y
y
w.r.t.
x
x
x
) (a)
m
2
y
m^2y
m
2
y
(b)
m
y
2
my^2
m
y
2
(c)
m
2
y
2
m^2y^2
m
2
y
2
(d) none of these
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