IftheD. E. M(x, y)dx + (cosxr - 8r?y - xe )dy = 0 is exact, then the most general function M (x, y) is - sin x - 8y? + eY +h (y) -y cos x - 8xy? - e +h (x) O -y sin x - 8xy? + e+h (x) O -y sin x - 8xy? + h (x) O -y sin x - 16xy + e+h (x) O - sin x - 4xy2 + e-+ h (x) sin x - 12ry + e +h (x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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IftheD. E.
M(x, y)dx + (cosx – &r²y – xe" )dy = 0
is exact,
then the most general function M (x, y) is
- sin x - 8y? + e +h (y)
O -y cos x - 8xy? - e+h (x)
O -y sin x - 8xy? + e- +h (x)
O -y sin x - 8xy² + h (x)
O -y sin x - 16xy + e + h (x)
- sin x - 4xy + e=Y + h (x)
sin x - 12xy2 + e +h (x)
Transcribed Image Text:IftheD. E. M(x, y)dx + (cosx – &r²y – xe" )dy = 0 is exact, then the most general function M (x, y) is - sin x - 8y? + e +h (y) O -y cos x - 8xy? - e+h (x) O -y sin x - 8xy? + e- +h (x) O -y sin x - 8xy² + h (x) O -y sin x - 16xy + e + h (x) - sin x - 4xy + e=Y + h (x) sin x - 12xy2 + e +h (x)
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