Answer to Problem 57
To integrate
Equation 92
write
Equation 93
Equation 94
then
Equation 95
Equation 96
Integration with respect to
and
gives
Equation 97
Substitute
to get
Equation 98
Applying the boundary condition
, we find
:
Equation 99
Now use this equation to substitute for
in (*).
Equation 100
Equation 101
This gives
Equation 102
Let
. Then (6.4) simplifies to
Equation 103