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dy (a) Show that y+x-6=0 is an implicit solution to dx 1 4y3 on the interval (-∞0,6).

dy (a) Show that y+x-6=0 is an implicit solution to dx 1 4y3 on the interval (-∞0,6).

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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= (a) Show that y+x-6=0 is an implicit solution to dx 1 4y3 on the interval (-∞0,6). dy _ ( - xsinx + cosx-1)y 7(x-x cos x) = (b) Show that xy - xy cos x = 1 is an implicit solution to the differential equation dx (a) To verify the solution and the interval, convert y +x-6=0 to explicit function(s). y=(Use a comma to separate answers as needed.) on the interval (0, 2л).
Transcribed Image Text:= (a) Show that y+x-6=0 is an implicit solution to dx 1 4y3 on the interval (-∞0,6). dy _ ( - xsinx + cosx-1)y 7(x-x cos x) = (b) Show that xy - xy cos x = 1 is an implicit solution to the differential equation dx (a) To verify the solution and the interval, convert y +x-6=0 to explicit function(s). y=(Use a comma to separate answers as needed.) on the interval (0, 2л).
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