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Digital Library of Mathematical Functions ID
3.7.E5
[
w
β’
(
z
j
+
1
)
w
β²
β’
(
z
j
+
1
)
]
=
π
β’
(
Ο
j
,
z
j
)
β’
[
w
β’
(
z
j
)
w
β²
β’
(
z
j
)
]
+
π
β’
(
Ο
j
,
z
j
)
,
π€
subscript
π§
π
1
superscript
π€
β²
subscript
π§
π
1
π
subscript
π
π
subscript
π§
π
π€
subscript
π§
π
superscript
π€
β²
subscript
π§
π
π
subscript
π
π
subscript
π§
π
{\displaystyle{\displaystyle\begin{bmatrix}w(z_{j+1})\\ w^{\prime}(z_{j+1})\end{bmatrix}=\mathbf{A}(\tau_{j},z_{j})\begin{bmatrix}w(z_% {j})\\ w^{\prime}(z_{j})\end{bmatrix}+\mathbf{b}(\tau_{j},z_{j}),}}
Constraint(s)
Symbols List
(
a
,
b
)
π
π
{\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
:
w
β’
(
z
)
π€
π§
{\displaystyle{\displaystyle w(z)}}
: function
π
π
{\displaystyle{\displaystyle\mathbf{A}}}
: matrix (locally)
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