The general solution of the PDE is given by for any function f. 2u, + 3u, + 2u = 0 u(s, t) = exp(-s)ƒ(3s- 2t)
The general solution of the PDE is given by for any function f. 2u, + 3u, + 2u = 0 u(s, t) = exp(-s)ƒ(3s- 2t)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Kk.319.
![The general solution of the PDE
is given by
and the specification is
2u, +3u, +2u = 0
u(s, t) = exp(-s)ƒ(3s- 2t)
for any function f.
We would now like to solve the Cauchy problem when f is specified on a curve I given by :
r =
{(s,
(s, t) such that
325 =1}
u(s, t) = $²
Ir
How many solutions does this problem have: zero, one or infinity?
For zero please enter "0", for one enter "1" and for infinity enter "2".
Number of solutions:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7218c29-6431-48be-a4e5-14baddb06d26%2Fc826d936-53db-4a88-b116-c09635b56ae7%2F6hsfhxm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The general solution of the PDE
is given by
and the specification is
2u, +3u, +2u = 0
u(s, t) = exp(-s)ƒ(3s- 2t)
for any function f.
We would now like to solve the Cauchy problem when f is specified on a curve I given by :
r =
{(s,
(s, t) such that
325 =1}
u(s, t) = $²
Ir
How many solutions does this problem have: zero, one or infinity?
For zero please enter "0", for one enter "1" and for infinity enter "2".
Number of solutions:
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