+4x 6) y' = Ans.: y-x =e +C. 3y - 2xye"

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
y'e +4x
6) y' =
Ans.: y-x =e" +C.
3y - 2xye"
7) (y2.
y
+2)dx+[-
+2y(x+1)]dy D0.
x+y
x(x+ y)
Ans.: (x+1)y? + In(x+ y) +2x-In x = C.
8) (sin y+cos?x)
dy
tan y.sin 2x.
dx
Ans.: sin y+3cos² x.sin y = C.
9) 2ysin ydy-(1-cos y)dx- x(csc y-cot y)dy=0. Ans.: y + xcot y -
- =C.
sin y
10) (y+e -e *)dx+ (1+e')dy = 0.
Ans.: e* + ye" -x= C.
Transcribed Image Text:y'e +4x 6) y' = Ans.: y-x =e" +C. 3y - 2xye" 7) (y2. y +2)dx+[- +2y(x+1)]dy D0. x+y x(x+ y) Ans.: (x+1)y? + In(x+ y) +2x-In x = C. 8) (sin y+cos?x) dy tan y.sin 2x. dx Ans.: sin y+3cos² x.sin y = C. 9) 2ysin ydy-(1-cos y)dx- x(csc y-cot y)dy=0. Ans.: y + xcot y - - =C. sin y 10) (y+e -e *)dx+ (1+e')dy = 0. Ans.: e* + ye" -x= C.
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