Edit My – N. If Q, where Q is a function of x only, then the differential N equation M + Ny = 0 has an integrating factor of the form u(x) = es Q(z)dz Find an integrating factor and solve the given equation. (12z?y + 2:xy + 4y³) dx + (x² + y²) dy = 0. NOTE: Do not enter an arbitrary constant An integrating factor is The solution in implicit form is |² y e12r 4 yš 3 (e12 + 1) = 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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Edit
My – N.
If
Q, where Q is a function of x only, then the differential
N
equation
M + Ny = 0
has an integrating factor of the form
u(x) = es Q(z)dz
Find an integrating factor and solve the given equation.
(12z?y + 2:xy + 4y³) dx + (x² + y²) dy = 0.
NOTE: Do not enter an arbitrary constant
An integrating factor is
The solution in implicit form is
? y e12 +
3
(el27
+1)
= c, for any constant c.
Transcribed Image Text:Edit My – N. If Q, where Q is a function of x only, then the differential N equation M + Ny = 0 has an integrating factor of the form u(x) = es Q(z)dz Find an integrating factor and solve the given equation. (12z?y + 2:xy + 4y³) dx + (x² + y²) dy = 0. NOTE: Do not enter an arbitrary constant An integrating factor is The solution in implicit form is ? y e12 + 3 (el27 +1) = c, for any constant c.
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