Errors in the Second Edition of
Handbook of Differential Equations
LAST UPDATED: April 21, 1998
NOTE THAT THERE MAY EXIST ADDITIONAL ERRORS IN THIS EDITION. PLEASE
LOOK AT THE LIST OF ERRATA FOR LATER EDITIONS.
(Great appreciation is extended to Alain Moussiaux for identifying
most of the errors listed below.)
 1.
 On page 13, the definition of the Wronskian contains
This is incorrect, it should have been
 2.
 On page 37, first line after equation (6.12), we now have
we find that B^{2}4AC=) and
This is incorrect, it should have been
we find that B^{2}4AC=0 and
 3.
 On page 41, line 2 of Special Case 2, the equation beginning
``'' should have been
``''.
 4.
 On page 48, just above the displayed equation, we now have
If we form the equations , then
This is incorrect, it should be (note the last element in the list)
If we form the equations , then
 5.
 On page 55, Note number 1, repeated ``a'' should be removed.
 6.
 On page 80, first displayed equation, we now have a ``c_{l} ''
appearing, this should have been ``c_{y} ''.
 7.
 On page 81, first theorem, line 3, we now have ``''
appearing, this should have been ``''.
 8.
 On page 82
 (a)
 Case (A), line 3, we now have `` exists'' appearing, this
should have been `` exists''.
 (b)
 Case (C), line 2, we now have ``hatb '' appearing, this
should have been ``''.
 (c)
 Case (E), line 2, we now have ``hatb '' appearing, this
should have been ``''.
 9.
 On page 111, reference 3, year is now ``190'', it should have
been ``1990''.
 10.
 On page 124
 (a)
 First displayed equation, we now have
``'',
this should have been
``''.
 (b)
 Equation (31.5), we now have
``'', this should have been
``''.
 11.
 On page 126, line 5 , delete the word ``name''.
 12.
 On page 127, last line before Transformation 4 is the
expression ``'', this should have been
``''.
 13.
 On page 129, line 2, the word ``dependent'' should have been
``independent''.
 14.
 On page 145, line 6 , the expression ``'' should
have been ``''.
 15.
 On page 157, first displayed equation, the ``z '' in the
numerator on the right hand side should have been a ``x ''.
 16.
 On page 169, first displayed equation, the ``a '' in the
second equation should not be present.
 17.
 On page 186, third word is ``geberal'', it should be ``general''.
 18.
 On page 187
 (a)
 line 3 , the last term in the equation is
``(1)^{0}[a_{n}(x)]w '', which is incorrect. It should have been
``(1)^{0}[a_{n}(x)w] ''.
 (b)
 line 1 , the first summation is given as ``'', which is incorrect. It should have been
``''.
 19.
 On page 194, part (C), the final equation is listed as ``''. This should have been ``''.
 20.
 On page 195, first displayed equation is
This is incorrect, it should have been
 21.
 On page 224, line 3, ``to be same'' should have been ``to be the
same''.
 22.
 On page 228, equation (54.19) and the last displayed equation on
the page, the summations are ``'', which are incorrect. They should have
been ``''.
 23.
 On page 234, equation (56.2) is given as
This is incorrect, it should have been
 24.
 On page 244, first displayed equation is now
This is incorrect, it should have been
 25.
 On page 249, second to last displayed equation
This is incorrect, it should have been
 26.
 On page 250, note number 4, we now have
This is incorrect, it should have been:
 27.
 On page 260, equation (65.6), we presently have
This is incorrect, it should have been:
 28.
 On page 274, line 6 , the ``(68.11)'' should have been
``(68.8)''.
 29.
 On page 287, equation (72.18), the middle expression is
This is incorrect, it should have been:
 30.
 On page 305, second to last line on the page, the
'' should have been
''.
 31.
 On page 307, note number 3, the ``)'' should have
been ``)''.
 32.
 On page 327, equation (80.4) is given as
This is incorrect, it should have been (note one x should have been
a z )
 33.
 On page 331
 The second to last displayed equation on the page is given as
This is incorrect, the equation should have been
 The last displayed equation on the page is given as
This is incorrect, the equation should have been
 34.
 On page 333, equation (82.2) is given as
. This is incorrect, it should have been (note the minus sign)
 35.
 On page 334, equation (82.6) is given as
. This is incorrect, it should have been (note the minus sign)
 36.
 On page 339
 equation 84.2 is presently:
.This is incorrect, it should have been:
.
 last line, the ``(84.)'' should have been ``(84.1)''.
 37.
 On page 358, second displayed equation, second equation is given
as ``''. This is incorrect, it should have been ``.
 38.
 On page 372:

Equation (94.17) is given as:
This is incorrect, it should have been
.
 Equations (94.18) is given as:
This is incorrect, it should have been
 39.
 On page 385:

The matrices listed as:
and
are incorrect, they should have been
and
.

Equation (98.4) is listed as
This is incorrect, it should have been
 40.
 On page 386:

The first displayed equation is:
This is incorrect, it should have been:

The second displayed equation is:
This is incorrect, it should have been:
 41.
 On page 392, first line contains ``were quasilinear''.
This is incorrect, it should have been ``were linear''.
 42.
 On page 579, the 7th displayed equation is now
the quantity h^{3} is in error, it should be h^{2} .
That is, the formula should read
 43.
 On page 581, the first two displayed equations are:
and
They are incorrect, they should have been (note the interchange of x
and y in the first two equations, and the three needed modifications
, , and
):
and
 44.
 On page 645, equation (166.2), the terms u_{x} and u_{y} should
be replaced by v_{x} and v_{y} .