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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 = 1n (Cx). 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.
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 = 1n (Cx). 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.
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 = 1n (Cx). 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.
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 = 1n (Cx). 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.
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