Solve the differential equations in Exercises 1–14. + 2y = 1 – 5. х dx x > 0 6. (1 + x) y' + y = Vx 8. e2* y' + 2e2xr y = 2x 7. 2y' = e/2 + y 9. ху' — у 3D 2x In x dy dy + 2e*y = 1 dx 2. e* + y = e", x > 0 1. x dx. sin x x > 0 x² 3. xy' + 3y = dy cos x 2y, x > 0 10. х- ´dx х 4. y' + (tan x) y = cos² x, -7/2 < x < #/2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve the differential
equations in Exercises 1–14.
+ 2y = 1 –
5. х
dx
x > 0
6. (1 + x) y' + y = Vx
8. e2* y' + 2e2xr y = 2x
7. 2y' = e/2 + y
9. ху' — у 3D 2x In x
dy
dy
+ 2e*y = 1
dx
2. e*
+ y = e", x > 0
1. x
dx.
sin x
x > 0
x²
3. xy' + 3y =
dy
cos x
2y, x > 0
10. х-
´dx
х
4. y' + (tan x) y = cos² x, -7/2 < x < #/2
Transcribed Image Text:Solve the differential equations in Exercises 1–14. + 2y = 1 – 5. х dx x > 0 6. (1 + x) y' + y = Vx 8. e2* y' + 2e2xr y = 2x 7. 2y' = e/2 + y 9. ху' — у 3D 2x In x dy dy + 2e*y = 1 dx 2. e* + y = e", x > 0 1. x dx. sin x x > 0 x² 3. xy' + 3y = dy cos x 2y, x > 0 10. х- ´dx х 4. y' + (tan x) y = cos² x, -7/2 < x < #/2
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