dy cosh x dx + y sinh x = 2 cosh x sinh x

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
Solve Q4 only
Solve the following differential equations :
dy
1 cos x
+y = tan x.
dx
3. 2y cos x + 4y sin x = sin 2x, given y == 0 when x = n/3.
dy
+ y sinh x 2 cosh x sinh x .
dx
4. cosh x
dy
5. (1-x)
xy = 1
dx
dy
x+ y cos x
7.
dx
1+ sin x
dy
dx
9.
+ 2xy = 2e
%3D
11. Ja-ydx = (sin y-x) dy.
13. (1+y) dx + (x- etan)dy = 0.
Transcribed Image Text:Solve the following differential equations : dy 1 cos x +y = tan x. dx 3. 2y cos x + 4y sin x = sin 2x, given y == 0 when x = n/3. dy + y sinh x 2 cosh x sinh x . dx 4. cosh x dy 5. (1-x) xy = 1 dx dy x+ y cos x 7. dx 1+ sin x dy dx 9. + 2xy = 2e %3D 11. Ja-ydx = (sin y-x) dy. 13. (1+y) dx + (x- etan)dy = 0.
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