Nx - My xM - YN has an integrating factor of the form a(zh Find an integrating factor and solve the given equation. 6x + 5x² µ(x) = 2x³y +. + 2y,³ = C xy 2 5x² u(xy). = xy, 2x³y + + 2y,³ = C 2 ° 4000 - 1, 20²p+54² +2p² = c = C 1 5x3 μ(xxx) = 2xy+ +2y³ = = C 2 5x3 l(xy) = xy, 2xy + + 2y² = c 2 If = R, where R is a function depending only on the quantity z = xy, then the differential equation M + Ny = 0 of me 2x² y }, + = 8. R(z)dz + X = 0
Nx - My xM - YN has an integrating factor of the form a(zh Find an integrating factor and solve the given equation. 6x + 5x² µ(x) = 2x³y +. + 2y,³ = C xy 2 5x² u(xy). = xy, 2x³y + + 2y,³ = C 2 ° 4000 - 1, 20²p+54² +2p² = c = C 1 5x3 μ(xxx) = 2xy+ +2y³ = = C 2 5x3 l(xy) = xy, 2xy + + 2y² = c 2 If = R, where R is a function depending only on the quantity z = xy, then the differential equation M + Ny = 0 of me 2x² y }, + = 8. R(z)dz + X = 0
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:Nx - My
xM - YN
has an integrating factor of the form
a(zh
Find an integrating factor and solve the given equation.
6x +
5x²
µ(x) = 2x³y +.
+ 2y,³ = C
xy
2
5x²
u(xy).
= xy, 2x³y +
+ 2y,³ = C
2
° 4000 - 1, 20²p+54² +2p² = c
=
C
1
5x3
μ(xxx)
=
2xy+
+2y³ = = C
2
5x3
l(xy) = xy, 2xy +
+ 2y² = c
2
If
=
R, where R is a function depending only on the quantity z = xy, then the differential equation
M + Ny = 0
of me
2x²
y
},
+
= 8.
R(z)dz
+
X
= 0
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