7. solution for the differential equation ( 2xy- sin x ) dx + (x? - cos y) dy = 0 a) x'y + cos x- sin y = C c) xy? - cos x- sin y = C. b) xy? + cos x- sin y = C d) x²y + sin x- cos y = C 8. consider the differential equation x²y3 +x(1+y²) = 0 Which of the following integration factor makes the equation exact %3D dx b) d)

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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Q7 and 8

6. Is the differential equation exact
Cos y dx + (y? - x sin y) dy = 0
a) no
b) for y=x siny c) yes d) at x-D0
7. solution for the differential equation ( 2xy- sin x ) dx
+ (x2- cos y) dy = 0
a) x'y + cos x – sin y = C
c) xy2 - cos x - sin y = C.
b) xy? + cos x- sin y = C
d) x²y + sin x - cos y = C
8. consider the differential equation
x*y3 + x(1+ y?) = 0
Which of the following integration factor makes the
equation exact
%3D
dx
a) b) 0) d)
xy:
Transcribed Image Text:6. Is the differential equation exact Cos y dx + (y? - x sin y) dy = 0 a) no b) for y=x siny c) yes d) at x-D0 7. solution for the differential equation ( 2xy- sin x ) dx + (x2- cos y) dy = 0 a) x'y + cos x – sin y = C c) xy2 - cos x - sin y = C. b) xy? + cos x- sin y = C d) x²y + sin x - cos y = C 8. consider the differential equation x*y3 + x(1+ y?) = 0 Which of the following integration factor makes the equation exact %3D dx a) b) 0) d) xy:
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