Determine whether the equation is exact. If it is, then solve it. [ 6y cos (xy) + д ду 7 For the given equation, write out the condition for exactness. 6y cos (xy) + dx + 6x cos (xy) - 5y dy=0 7 1+x² d ax 6x cos (xy) - 5y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type expressions using x and y as the variables.) O A. The equation is exact because ƏM ƏN (x,y) = (x,y) = 6 cos (xy) - 6xy sin (xy). An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant. ay dx O B. The equation is not exact because ƏM Əy -(x,y)= # C ƏN ax (x,y) =
Determine whether the equation is exact. If it is, then solve it. [ 6y cos (xy) + д ду 7 For the given equation, write out the condition for exactness. 6y cos (xy) + dx + 6x cos (xy) - 5y dy=0 7 1+x² d ax 6x cos (xy) - 5y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type expressions using x and y as the variables.) O A. The equation is exact because ƏM ƏN (x,y) = (x,y) = 6 cos (xy) - 6xy sin (xy). An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant. ay dx O B. The equation is not exact because ƏM Əy -(x,y)= # C ƏN ax (x,y) =
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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Transcribed Image Text:Determine whether the equation is exact. If it is, then solve it.
[
6y cos (xy) +
д
ду
7
For the given equation, write out the condition for exactness.
6y cos (xy) +
dx + 6x cos (xy) - 5y dy=0
7
1+x²
d
ax
6x cos (xy) - 5y
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Type expressions using x and y as the variables.)
O A. The equation is exact because
ƏM
ƏN
(x,y) = (x,y) = 6 cos (xy) - 6xy sin (xy). An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant.
ay
dx
O B. The equation is not exact because
ƏM
Əy
-(x,y)=
#
C
ƏN
ax (x,y) =
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