It has second order partial derivatives. (p and V) (a) z = 9 (x – ay) + ¥ (x – ay), ৫२०, dx² 0;

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Show that the functions defined in the following equations satisfy the equations written opposite them.

It has second order partial derivatives. (y and V)
%3D
(a) z = y (x – ay) + ¥ (x – ay),
- ().
(b) z = xp
+ 2ry-
dxðy
+ y?.
dy?
0;
´Əx²
dz
dz
+y².
dy?
dz
-2xy Jrðy
0;
+x-
+y
(c) z = 9 (xy) In y+¥ (xy),
dx?
z
:= %yy Ərðy
dz
!D
There
dy
!!
Transcribed Image Text:It has second order partial derivatives. (y and V) %3D (a) z = y (x – ay) + ¥ (x – ay), - (). (b) z = xp + 2ry- dxðy + y?. dy? 0; ´Əx² dz dz +y². dy? dz -2xy Jrðy 0; +x- +y (c) z = 9 (xy) In y+¥ (xy), dx? z := %yy Ərðy dz !D There dy !!
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