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d. Family of ellipses with center at (1, -2), major axis is horizontal, and whose eccentricity is 0.6. e. Family of lines whose angle of inclination is 60 degrees.

d. Family of ellipses with center at (1, -2), major axis is horizontal, and whose eccentricity is 0.6. e. Family of lines whose angle of inclination is 60 degrees.

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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2. Find the differential equation of the family of curves as described below. a. Family of circles whose center is on the line y = 3x b. Family of parabolas whose vertex is along the line y = -2, and whose distance from vertex to directrix being 3 units. c. Family of logarithmic curves whose equation is Cy d. Family of ellipses with center at (1, -2), major axis is horizontal, and whose eccentricity is 0.6. e. Family of lines whose angle of inclination is 60 degrees. = In (Cx).
Transcribed Image Text:2. Find the differential equation of the family of curves as described below. a. Family of circles whose center is on the line y = 3x b. Family of parabolas whose vertex is along the line y = -2, and whose distance from vertex to directrix being 3 units. c. Family of logarithmic curves whose equation is Cy d. Family of ellipses with center at (1, -2), major axis is horizontal, and whose eccentricity is 0.6. e. Family of lines whose angle of inclination is 60 degrees. = In (Cx).
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