Nz - My If = Q, where is a function of y only, then the differential M equation M + Ny' = 0 has an integrating factor of the form μ(y) = el Q(y)dy Find an integrating factor and solve the equation y dx + (8xy - e-8y) dy = 0. NOTE: Do not enter an arbitrary constant An integrating factor is μ(y) = The solution in implicit form is = c, for any constant c.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Nx - My
M
If
=
Q, where is a function of y only, then the differential
equation
M + Ny' = 0
has an integrating factor of the form
μ(y) = el Q(y)dy
Find an integrating factor and solve the equation
y dx + (8xy - e-8y) dy = 0.
NOTE: Do not enter an arbitrary constant
An integrating factor is
μ(y)
=
The solution in implicit form is
=
C, for any constant c.
Transcribed Image Text:Nx - My M If = Q, where is a function of y only, then the differential equation M + Ny' = 0 has an integrating factor of the form μ(y) = el Q(y)dy Find an integrating factor and solve the equation y dx + (8xy - e-8y) dy = 0. NOTE: Do not enter an arbitrary constant An integrating factor is μ(y) = The solution in implicit form is = C, for any constant c.
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