Determine the differential equation of the family of lines passing through the origin O ædx + ydy = 0 O xdy + ydx = 0 (E) O ædx – ydy = 0 O xdy – ydx = 0

Trigonometry (MindTap Course List)
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Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Determine the differential equation of the family of lines passing through the origin
O ædx + ydy = 0
O xdy + ydx = 0
(E)
O ædx – ydy = 0
O ædy – ydx = 0
Transcribed Image Text:Determine the differential equation of the family of lines passing through the origin O ædx + ydy = 0 O xdy + ydx = 0 (E) O ædx – ydy = 0 O ædy – ydx = 0
Which of the following differential equation is non-linear?
(E)
O y' = y – x³e-2z
O (2? + y?) dx + 2æydy = 0
о (2гу + 23у) dx — (1 + г?) dy — 0
O dz – (1+ 2x tan y) dy = 0
Transcribed Image Text:Which of the following differential equation is non-linear? (E) O y' = y – x³e-2z O (2? + y?) dx + 2æydy = 0 о (2гу + 23у) dx — (1 + г?) dy — 0 O dz – (1+ 2x tan y) dy = 0
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