What is the differential equation of the family of lines whose sum of the intercepts is fixed as k ? (xy' + y)(y' – 1) + kyy' = 0 (ху' — у)(у' - 1) + kуy' %3D0 O A В (xy' + y)(y' + 1) + kyy' = 0 (ху' — у) (у' — 1) — kуy' %3D 0
What is the differential equation of the family of lines whose sum of the intercepts is fixed as k ? (xy' + y)(y' – 1) + kyy' = 0 (ху' — у)(у' - 1) + kуy' %3D0 O A В (xy' + y)(y' + 1) + kyy' = 0 (ху' — у) (у' — 1) — kуy' %3D 0
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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![What is the differential equation of the family of lines whose sum of the intercepts
is fixed as k ?
(xy' + y)(y' – 1) + kyy' = 0
(ху' — у)(у' - 1) + kуy' %3D0
O A
В
(xy' + y)(y' + 1) + kyy' = 0
(ху' — у) (у' — 1) — kуy' %3D 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F869e6fb5-9a15-4124-b76d-6e49a5bb680c%2F382e64f0-9558-468c-b5a0-884c009776d9%2Fu1v2ttj_processed.png&w=3840&q=75)
Transcribed Image Text:What is the differential equation of the family of lines whose sum of the intercepts
is fixed as k ?
(xy' + y)(y' – 1) + kyy' = 0
(ху' — у)(у' - 1) + kуy' %3D0
O A
В
(xy' + y)(y' + 1) + kyy' = 0
(ху' — у) (у' — 1) — kуy' %3D 0
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