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Mathematics
Mathematics
Problem
If
y
=
sin
m
x
y = \sin mx
y
=
sin
m
x
, then the value of the determinant
∣
y
y
1
y
2
y
3
y
4
y
5
y
6
y
7
y
8
∣
where
y
n
=
d
n
y
d
x
n
,
is
\begin{vmatrix} y & y_1 & y_2 \\ y_3 & y_4 & y_5 \\ y_6 & y_7 & y_8 \end{vmatrix} \text{ where } y_n = \frac{d^n y}{dx^n}, \text{ is}
y
y
3
y
6
y
1
y
4
y
7
y
2
y
5
y
8
where
y
n
=
d
x
n
d
n
y
,
is
(a)
m
9
m^9
m
9
(b)
m
2
m^2
m
2
(c)
m
3
m^3
m
3
(d) none of these (a)
m
9
m^9
m
9
(b)
m
2
m^2
m
2
(c)
m
3
m^3
m
3
(d) none of these
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