Choose the appropriate letter that best describes the given statements. Do not consider the in the standard equation of a circle, instead, use (r-h)+ (y-k) , Statement 1. The differential equation representing a family of circles touching the x-axis at the origin is (22 + y²) - 2y (x + y) = 0. Statement 2. The differential equation representing a family of circles touching the y-axis at the origin is dy (22 +y) = 2x (x +y %3D = (). O 1st statement is false but the 2nd is true O Both statements are false. O 1st statement is true but 2nd is false O Both statements are true.
Choose the appropriate letter that best describes the given statements. Do not consider the in the standard equation of a circle, instead, use (r-h)+ (y-k) , Statement 1. The differential equation representing a family of circles touching the x-axis at the origin is (22 + y²) - 2y (x + y) = 0. Statement 2. The differential equation representing a family of circles touching the y-axis at the origin is dy (22 +y) = 2x (x +y %3D = (). O 1st statement is false but the 2nd is true O Both statements are false. O 1st statement is true but 2nd is false O Both statements are true.
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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Transcribed Image Text:Choose the appropriate letter that best describes the given statements.
Do not consider the in the standard equation of a circle, instead, use (a-h) + (y-k) .
Statement 1. The differential equation representing a family of circles touching the x-axis at the origin is
(22 + y?) - 2y (a + y
dy
= 0.
Statement 2. The differential equation representing a family of circles touching the y-axis at the origin is
(22 + y)
2x
x+y
= 0.
%3D
da
O1st statement is false but the 2nd is true
O Both statements are false.
1st statement is true but 2nd is false
O Both statements are true.
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