М, -N, If Q, where Q is a function of x only, then the differential equation M+ Ny' = 0 has an integrating factor of the form µ (x) = eS Q(z) d z Find an integrating factor and solve the given equation. (12a²y+ 2æy + 4y®) dæ + (æ² + y²) dy = 0 The integrating factor is µ (x) = e^(12*x) Do not enter an arbitary constant. The solution in implicit form is e^x*(12*x^2"y-22*x*y+4*y^3 QE = c, where c is a constant of integration.

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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My-N,
If
Q, where Q is a function of x only, then the differential equation
N
M + Ny = 0
has an integrating factor of the form
µ (x) = eS Q(z) d z.
Find an integrating factor and solve the given equation.
(12z°y + 2æy+ 4y³) dæ + (æ² + y³) dy = 0
The integrating factor is
μ (α)
e^(12*x)
Do not enter an arbitary constant.
The solution in implicit form is
e^x*(12*x^2*y-22*x*y+4*y^3
QE= c, where c is a constant of integration.
Transcribed Image Text:My-N, If Q, where Q is a function of x only, then the differential equation N M + Ny = 0 has an integrating factor of the form µ (x) = eS Q(z) d z. Find an integrating factor and solve the given equation. (12z°y + 2æy+ 4y³) dæ + (æ² + y³) dy = 0 The integrating factor is μ (α) e^(12*x) Do not enter an arbitary constant. The solution in implicit form is e^x*(12*x^2*y-22*x*y+4*y^3 QE= c, where c is a constant of integration.
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