1. All straight line with x-intercept at x=2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Obtain the differential equation that describes the following family of curves.

1. All straight line with x-intercept at x=2.
2. All straight lines with algebraic sum of the intercepts fixed as k.
3. All circles with center on the line y = 2x.
4. All parabolas with axis parallel to x-axis and with distance from the vertex to focus fixed as a.
y²
6² +1
5. All confocal central conics, with a and b held fixed,
x²
a² + λ
+
=
1
Transcribed Image Text:1. All straight line with x-intercept at x=2. 2. All straight lines with algebraic sum of the intercepts fixed as k. 3. All circles with center on the line y = 2x. 4. All parabolas with axis parallel to x-axis and with distance from the vertex to focus fixed as a. y² 6² +1 5. All confocal central conics, with a and b held fixed, x² a² + λ + = 1
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