Lines l, m and n have respective equations X = 0, Y = 2X and Y = 0.a. Find the equation of line p such that om 00l = Op On.b. Find the equation of line q such that om 00l = On 00q.

Given Information:The equations of lines l, m, and n are and .To find:a) The equation of line p…

Answered: Lines l, m and n have respective…

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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Question

Lines l, m and n have respective equations X = 0, Y = 2X and Y = 0.
a. Find the equation of line p such that om 00l = Op On.
b. Find the equation of line q such that om 00l = On 00q.

Expert Solution

Step 1: Introduction

Given Information:

The equations of lines l, m, and n are $X equals 0 comma space Y equals 2 X$ and $Y equals 0$ .

To find:

a) The equation of line p such that $sigma subscript m ring operator sigma subscript l equals sigma subscript p ring operator sigma subscript n$ .
b. The equation of line q such that $sigma subscript m ring operator sigma subscript l equals sigma subscript n ring operator sigma subscript q$ .

Concept used:

Consider the notation that $sigma subscript l ring operator sigma subscript m$ represents the composition of the functions represented by lines $l$ and $m$ .

The composition of two function $f open parentheses x close parentheses$ and $g open parentheses x close parentheses$ is defined as $open parentheses f ring operator g close parentheses open parentheses x close parentheses equals f open parentheses g open parentheses x close parentheses close parentheses$ .