Solution Found!
Show that the boundary value problem has a solution if and
Chapter 4, Problem 46E(choose chapter or problem)
Show that the boundary value problem
\(y^{n}+\lambda^{2} y=\sin t ; y(0)=0, y(\pi)=1\)
has a solution if and only if \(\lambda \neq \pm 1, \pm 2, \pm 3, \ldots\)
Equation Transcription:
Text Transcription:
y''+lambda^2 y=sin t; y(0)=0, y(pi)=1
lambda neq pm 1, pm 2, pm 3,…
Questions & Answers
QUESTION:
Show that the boundary value problem
\(y^{n}+\lambda^{2} y=\sin t ; y(0)=0, y(\pi)=1\)
has a solution if and only if \(\lambda \neq \pm 1, \pm 2, \pm 3, \ldots\)
Equation Transcription:
Text Transcription:
y''+lambda^2 y=sin t; y(0)=0, y(pi)=1
lambda neq pm 1, pm 2, pm 3,…
ANSWER:
Solution
Step 1:
We have to show that the boundary value problem
has a solution if and only if