Write the linear DE of order one x²dy + (2xy-x+1) dx=0 in standard form A B D dy dx dy dx 1 2 +y(-) =- X 2 +y(-) = X - 1 x2 2 +y()=- 1 +- X 7174 +2 1 X +2 X dy 2 1 1 -+y(-)=-+- dy +yP(x) = Q(x) or dx dy +x P(y) = Q(y).

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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dy
Write the linear DE of order one x²dy + (2xy− x+1) dx =0 in standard form
2
1
Ⓒ + + + x ( ² ) = 1 / - / / /
A
+y(-)
2
B
D
dy
dx
dy
2
+y(-) -) =
+y(-
2.
X
1
2
1
+2
1
+y(-) = - +
X
X
1
+-
1
+2
1
X
+yP(x) = Q(x) or
dy
+xP(y) = Q(y).
Transcribed Image Text:dy Write the linear DE of order one x²dy + (2xy− x+1) dx =0 in standard form 2 1 Ⓒ + + + x ( ² ) = 1 / - / / / A +y(-) 2 B D dy dx dy 2 +y(-) -) = +y(- 2. X 1 2 1 +2 1 +y(-) = - + X X 1 +- 1 +2 1 X +yP(x) = Q(x) or dy +xP(y) = Q(y).
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