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. a-dx = (sin y-x) dy. 13. (1+y) dx + (-etan)dy = 0.
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. a-dx = (sin y-x) dy. 13. (1+y) dx + (-etan)dy = 0.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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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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