26. (e¹ + y) dx + (2 + x + ye') dy = 0, y(0) = 1 (27) (4y + 2x - 5) dx + (6y + 4x - 1)dy = 0, y(-1) = 2 3y² - x² dy 28 X etenze

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can someone please help me answer this question .#27
In Problems 25-30 solve the given differential equation subject to the indicated
initial condition.
25. (x + y)² dx + (2xy + x² - 1)dy = 0,
y(1) = 1
26. (ex + y) dx + (2 + x + ye') dy = 0, y(0) = 1
(27) (4y + 2x - 5) dx + (6y + 4x - 1)dy = 0, y(-1) = 2
3y² - x² dy
28.
ys
dx
29. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + ln y) dy = 0, y(0) = e
1
no
30.
1 + y²
= y(y + sin x), y(0) = 1
+
+ cosx
X
2y4 1007
-
=
2xy
0, y(1) = 1
dy
dx
Transcribed Image Text:In Problems 25-30 solve the given differential equation subject to the indicated initial condition. 25. (x + y)² dx + (2xy + x² - 1)dy = 0, y(1) = 1 26. (ex + y) dx + (2 + x + ye') dy = 0, y(0) = 1 (27) (4y + 2x - 5) dx + (6y + 4x - 1)dy = 0, y(-1) = 2 3y² - x² dy 28. ys dx 29. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + ln y) dy = 0, y(0) = e 1 no 30. 1 + y² = y(y + sin x), y(0) = 1 + + cosx X 2y4 1007 - = 2xy 0, y(1) = 1 dy dx
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