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Let p, q,r E K be given with p an

Let p, q,r E K be given with p an

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Text Transcription:** Let \( p, q, r \in K \) be given with \( p \) and \( q \) not both zero. Show that the set of all \( \begin{pmatrix} x \\ y \end{pmatrix} \in \Pi \) satisfying \( px + qy + r = 0 \) is a line. Show every line has this form.
Transcribed Image Text:**Text Transcription:** Let \( p, q, r \in K \) be given with \( p \) and \( q \) not both zero. Show that the set of all \( \begin{pmatrix} x \\ y \end{pmatrix} \in \Pi \) satisfying \( px + qy + r = 0 \) is a line. Show every line has this form.
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