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Statements
d
2
w
d
θ
2
+
(
(
2
γ
-
1
)
cot
θ
-
(
2
δ
-
1
)
tan
θ
-
ϵ
sin
(
2
θ
)
a
-
sin
2
θ
)
d
w
d
θ
+
4
α
β
sin
2
θ
-
q
a
-
sin
2
θ
w
=
0
.
derivative
𝑤
𝜃
2
2
𝛾
1
𝜃
2
𝛿
1
𝜃
italic-ϵ
2
𝜃
𝑎
2
𝜃
derivative
𝑤
𝜃
4
𝛼
𝛽
2
𝜃
𝑞
𝑎
2
𝜃
𝑤
0
{\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}\theta}^{2}}+%
\left({(2\gamma-1)\cot\theta-(2\delta-1)\tan\theta}-\frac{\epsilon\sin\left(2%
\theta\right)}{a-{\sin^{2}}\theta}\right)\frac{\mathrm{d}w}{\mathrm{d}\theta}+%
4\frac{\alpha\beta{\sin^{2}}\theta-q}{a-{\sin^{2}}\theta}w=0.}}
cot
z
𝑧
{\displaystyle{\displaystyle\cot\NVar{z}}}
d
f
d
x
derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
tan
z
𝑧
{\displaystyle{\displaystyle\tan\NVar{z}}}
γ
𝛾
{\displaystyle{\displaystyle\gamma}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
ϵ
italic-ϵ
{\displaystyle{\displaystyle\epsilon}}
a
𝑎
{\displaystyle{\displaystyle a}}
q
𝑞
{\displaystyle{\displaystyle q}}
α
𝛼
{\displaystyle{\displaystyle\alpha}}
β
𝛽
{\displaystyle{\displaystyle\beta}}
