Which of the following equations are exact differential equations? (Potentially multiple options are correct) □ 8æez8-18y – 18e-18y dy = 0 dy O y sin (11xy) + x sin(11xy) = 0 da dy ☐ 18x 18-1y+ (y7 + x18); <=0 dx 0 x²y+y²x + x²+3xy dy dx x²y+y²x = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following equations are exact differential equations? (Potentially multiple options are correct)
8xe-18y
0
dy
-18y.
18e
dx
dy
y sin (11xy) + x sin(11xy). = 0
dx
dy
□ 18x18-¹y+ (y7 + x18) d
x²y+y²x
= 0
+
= 0
dy
x² + 3xy
x²y+y²x dx
= 0
Transcribed Image Text:Which of the following equations are exact differential equations? (Potentially multiple options are correct) 8xe-18y 0 dy -18y. 18e dx dy y sin (11xy) + x sin(11xy). = 0 dx dy □ 18x18-¹y+ (y7 + x18) d x²y+y²x = 0 + = 0 dy x² + 3xy x²y+y²x dx = 0
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