indicated initial condition. gormon s 41. (e+1)sin x dx + 1)sin x dx = (1 + cosx)dy, y(0) = 0
indicated initial condition. gormon s 41. (e+1)sin x dx + 1)sin x dx = (1 + cosx)dy, y(0) = 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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Question
Can someone please help me solve 41 and 43 ,I’m having a hard time .
Transcribed Image Text:joonoosif gahabienos goxoled
In Problems 41-48 solve the given differential equation subject to the
indicated initial condition.
41. (e^Y + 1)sin x dx = (1 + cosx)dy, y(0) = 0
42. (1 + x)dy + x(1 + 4y2) dx = 0, y(1) = 0
43. y dy = 4x(y² + 1)¹/2 dx, y(0) = 1
dy
dt
dx = 4(x² + 1), x(7)
dy
44.
45.
+ ty = y, y(1) = 3
= 1
PINDU
46.
dy
dx
y² - 1
47. x²y' = y - xy, y(-1) = -1 48. y' + 2y = 1,
x² - 1¹
=
y(2) = 2
y(0) =
=
252
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