N₁-M, xM-yN has an integrating factor of the form Find an integrating factor and solve the given equation. O μ(x)= 8x³y+9+8y² =C O H(XY) = 8x³y +²+8y³ = c 9x³ (xy) = xy, &x²y + 2 + 8y² = c 1 μ(xy) = 8x²y+ +8y² = c xy #xy) = xy, 8x³y + + 8y³ = c If O =R, where R is a function depending only on the quantity z = xy, then the differential equation M+Ny = 0 M(2)=√/1 (24x+2)+(²+24v) = 0 xy 1 2 Ric
N₁-M, xM-yN has an integrating factor of the form Find an integrating factor and solve the given equation. O μ(x)= 8x³y+9+8y² =C O H(XY) = 8x³y +²+8y³ = c 9x³ (xy) = xy, &x²y + 2 + 8y² = c 1 μ(xy) = 8x²y+ +8y² = c xy #xy) = xy, 8x³y + + 8y³ = c If O =R, where R is a function depending only on the quantity z = xy, then the differential equation M+Ny = 0 M(2)=√/1 (24x+2)+(²+24v) = 0 xy 1 2 Ric
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:N₁-M,
xM-yN
has an integrating factor of the form
Find an integrating factor and solve the given equation.
O
μ(x)=
8x³y+9+8y²
=C
O
H(XY) =
8x³y +²+8y³ = c
9x³
(xy) = xy, &x²y + 2 + 8y² = c
1
μ(xy) =
8x²y+
+8y² = c
xy
#xy) = xy, 8x³y +
+ 8y³ = c
If
O
=R, where R is a function depending only on the quantity z = xy, then the differential equation
M+Ny = 0
M(2)=√/1
(24x+2)+(²+24v) = 0
xy
1
2
Ric
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