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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1996 • Question 14

Question

Math 6410 • ODE Fall 1996 • Question 14

Let \[ r(x)= \begin {cases} x^2, & x\ge 0,\\ 0, & x\le 0. \end {cases} \] Compute all distributional derivatives of \(r\).

Raw LaTeX

Let
\[
r(x)=
\begin{cases}
x^2, & x\ge0,\\
0, & x\le0.
\end{cases}
\]
Compute all distributional derivatives of \(r\).

Topic Tags

Distributions and Weak Solutions