4. What is the family of curves for all parabolas with axes parallel to the y-axis. Add File

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Answer number 4
3. Obtain the differential equation of the family of straight lines passing through
(0,1).
SAdd File
4. What is the family of curves for all parabolas with axes parallel to the y-axis.
1 Add File
5. Determine whether or not the differential equation is a homogeneous
differential equation:
(x²tan(x/y)
x2 +2xy
(y In x-y In y)dx +
dy = 0
Transcribed Image Text:3. Obtain the differential equation of the family of straight lines passing through (0,1). SAdd File 4. What is the family of curves for all parabolas with axes parallel to the y-axis. 1 Add File 5. Determine whether or not the differential equation is a homogeneous differential equation: (x²tan(x/y) x2 +2xy (y In x-y In y)dx + dy = 0
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