ә) у(2ху + 1)dх — хӑу — 0 b) (х3у3 + 1)dx + x4у?dy %3D 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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![ang
oy dx – x dy
x dy – ydx
= d
y dx –x dy
ydx – x dy
= d
y?
у dx - x dy
xdy – ydx
= d In
xy
xy
Table 1
хdy - ydx
x² + y?
1
y dx – x dy
= d arctan
x² + y*
ydx+ xdy
y dx + x dy
d(In xy)
%3D
ху
xy
y dx + xdy
-1
y dx +x dy
n>1
(ху)""
= d
(ху)"
(n– 1)(xy)"-
ydy + xdx
x² + y°
1
у dy +x dx
x² + y?
=d In(x + y)
ydy + x dx
= d
1
-1
у dy +x dx
n>1
(x² + y°)"°
(x² + y*)"
2(n – 1)(x² + y³)*-!
ay dx + bx dy
(a, b constants)
xly(ay dx + bx dy) = d(xªy")](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd262e64d-edb6-4ffc-82d4-c7746228be76%2Ffbaf37a3-01b3-4bd7-a4c6-4221559f01a4%2Ffy9wsxb_processed.png&w=3840&q=75)
Transcribed Image Text:ang
oy dx – x dy
x dy – ydx
= d
y dx –x dy
ydx – x dy
= d
y?
у dx - x dy
xdy – ydx
= d In
xy
xy
Table 1
хdy - ydx
x² + y?
1
y dx – x dy
= d arctan
x² + y*
ydx+ xdy
y dx + x dy
d(In xy)
%3D
ху
xy
y dx + xdy
-1
y dx +x dy
n>1
(ху)""
= d
(ху)"
(n– 1)(xy)"-
ydy + xdx
x² + y°
1
у dy +x dx
x² + y?
=d In(x + y)
ydy + x dx
= d
1
-1
у dy +x dx
n>1
(x² + y°)"°
(x² + y*)"
2(n – 1)(x² + y³)*-!
ay dx + bx dy
(a, b constants)
xly(ay dx + bx dy) = d(xªy")
![Solve the following DE's using Integrating Factor by Inspection or by applying Table 1.
a) y(2xy + 1)dx – xdy = 0
b) (x³y³ + 1)dx +x*y²dy = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd262e64d-edb6-4ffc-82d4-c7746228be76%2Ffbaf37a3-01b3-4bd7-a4c6-4221559f01a4%2Fyd1s61g_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the following DE's using Integrating Factor by Inspection or by applying Table 1.
a) y(2xy + 1)dx – xdy = 0
b) (x³y³ + 1)dx +x*y²dy = 0
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