Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Wrap Up Problem 2 Key for Partial Differential Equations | MTH 3326, Study notes of Differential Equations

Wrap Up Problem #2 Key Material Type: Notes; Professor: Beauregard; Class: Partial Differential Equations; Subject: Mathematics; University: Baylor University; Term: Spring 2011;

Typology: Study notes

2010/2011

Uploaded on 05/09/2011

mmurphy8912
mmurphy8912 🇺🇸

4.8

(10)

106 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Problem #3
Part (a)
u
t
=Du
xx
+aubu
3
x=L x
'
,t =T t
'
,u =U u
'
[
u
]
=U
[
u
t
]
=U
T
[
u
x
]
=U
L
[
u
xx
]
=U
L
2
U
T=DU
L
2
+aU bU
3
[
D
]
=L
2
T
[
a
]
=L
T
[
b
]
=1
TU
2
ergo , u
t
=u
xx
+uu
3

Partial preview of the text

Download Wrap Up Problem 2 Key for Partial Differential Equations | MTH 3326 and more Study notes Differential Equations in PDF only on Docsity!

Problem # Part (a) ut=Duxx+ au−bu^3 x=L x ' ,t=T t ' ,u=U u '

[ u]=U [ u t ]=

U

T

[ ux ]=

U

L

[ uxx ]=

U

L

2 U T

=D

U

L

2 +aU^ −bU^ 3

[ D] =

L

2 T

[ a ]=

L

T

[ b] =

TU 2

ergo , ut=uxx +u−u^3