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Mathematics
Mathematics
Problem
22. If
y
=
e
a
cos
−
1
x
,
−
1
≤
x
≤
1
y=e^{a \cos ^{-1} x},-1 \leq x \leq 1
y
=
e
a
c
o
s
−
1
x
,
−
1
≤
x
≤
1
, show that
(
1
−
x
2
)
d
2
y
d
x
2
−
x
d
y
d
x
−
a
2
y
=
0
\left(1-x^{2}\right) \frac{d^{2} y}{d x^{2}}-x \frac{d y}{d x}-a^{2} y=0
(
1
−
x
2
)
d
x
2
d
2
y
−
x
d
x
d
y
−
a
2
y
=
0
.
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