з хутуг х2 +xy dy + ax = 0

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
icon
Related questions
Question

no need to solve. just write everything digitally. thank you. i will upvote

Given:
dy + 3xy ty = 0
xy
=> day
бус х
- (3xy + y²)
xy
Fax (371)
=>dx (-3 xy + y²) = dy (-X² - xy)
→dx (-3 x (x) ³²+ (ux)² = (udx+xdv) (-x²-x²²² (Ux))
=> -3 x² u dx + ²x² dx = -x² udx - x² v² dx - x³ du- x³dv
(+x²udx) (²x) (+ x² udx) (+ x² u²dx)
=>
- [ 2x²udx + 2√³x²dx = -x ³du -x³udu
=> 2x²xdx = 2√³²x²dx = X du txodu
x3
=> 2x²dx-2ux² dx
=> (2x² = x²) dx = 2
f 1 d
X
=
In x
y = x; dy= udx + xdu
dx = f == du
Đinx nu c
In u
=> e
= e
=> X = UC
2 du
du + du
du J-²1
=)/x = C
1
Zu
y=vx
Transcribed Image Text:Given: dy + 3xy ty = 0 xy => day бус х - (3xy + y²) xy Fax (371) =>dx (-3 xy + y²) = dy (-X² - xy) →dx (-3 x (x) ³²+ (ux)² = (udx+xdv) (-x²-x²²² (Ux)) => -3 x² u dx + ²x² dx = -x² udx - x² v² dx - x³ du- x³dv (+x²udx) (²x) (+ x² udx) (+ x² u²dx) => - [ 2x²udx + 2√³x²dx = -x ³du -x³udu => 2x²xdx = 2√³²x²dx = X du txodu x3 => 2x²dx-2ux² dx => (2x² = x²) dx = 2 f 1 d X = In x y = x; dy= udx + xdu dx = f == du Đinx nu c In u => e = e => X = UC 2 du du + du du J-²1 =)/x = C 1 Zu y=vx
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning