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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Spring 2020 • Question 4

Question

Math 6410 • ODE Spring 2020 • Question 4

Under what conditions on the parameters \(a\) and \(b\) does the boundary value problem \[ u''+u=\cos (x),\qquad u'(0)=a,\qquad u'(\pi )=b \tag {5} \] have a solution?

Raw LaTeX

Under what conditions on the parameters \(a\) and \(b\) does the boundary value problem
\[
  u''+u=\cos(x),\qquad u'(0)=a,\qquad u'(\pi)=b
  \tag{5}
\]
have a solution?

Topic Tags

Boundary Value Problems Boundary Value Problems and Sturm-Liouville Theory Distributions and Weak Solutions Poincare Maps and Periodic Solutions