(y³3y + 2)√9+ x²dx + x²dy = 0 a. b. C. d. e. f. g. h. i. |j. C = ln y == sec 1 x2 = (-²) + 5). SOLUTION y² = 2-e-x s = [C(x - C₂)]³ 9y+2 = 1 3(y-1) C = x²y² + 4x - 6y 1 C = {} (x² + y²) ² - xy C = (2x - 3y)6(x + y)² y3 Cs²ttet + et CSC sin 4y + (4y + C)2y π²-1-cos y y² X = G) x³ ·+ (C₁ − 1)x + (2C₁ − 1) In |x − 1| + C₂ 6

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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Related questions
Question
(y³ - 3y + 2)√√9+ x²dx + x²dy = 0
a.
b.
C.
d.
e.
f.
g.
h.
i.
|j.
y =
x3
C =ln (sec (3) + 3).
( ) + -) ·
с
1
3(y - 1)
C = x²y² + 4x - 6y
-
6
1
x²
SOLUTION
s = [C(x − C₂)] ²³
-
C =
=
y² = 2-e-x
3
_c=}
1
C = = (x² + y²)2 - xy
с
3
(2x - 3y)6(x + y)²
y³
C = s²t - tet + et
-
⁹y+2
V → 1[
-
CSC
sin 4y + (4y + C)2y
TT
T² - 1 -cos y
y²
(5)
+ (C₁ − 1)x+ (2C₁ − 1) ln |x − 1| + C₂
-
Transcribed Image Text:(y³ - 3y + 2)√√9+ x²dx + x²dy = 0 a. b. C. d. e. f. g. h. i. |j. y = x3 C =ln (sec (3) + 3). ( ) + -) · с 1 3(y - 1) C = x²y² + 4x - 6y - 6 1 x² SOLUTION s = [C(x − C₂)] ²³ - C = = y² = 2-e-x 3 _c=} 1 C = = (x² + y²)2 - xy с 3 (2x - 3y)6(x + y)² y³ C = s²t - tet + et - ⁹y+2 V → 1[ - CSC sin 4y + (4y + C)2y TT T² - 1 -cos y y² (5) + (C₁ − 1)x+ (2C₁ − 1) ln |x − 1| + C₂ -
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