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
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25de04cf-e2a5-404e-a320-bf8f0014cf68%2F65317ed8-1eee-4fbb-b0ce-ade502eba4ca%2Ff5c6fyj_processed.jpeg&w=3840&q=75)
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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