Problem

Solve the initial-value problem $ y' = (\sin x) \…

Problem 24 Easy Difficulty

Solve the equation $ e^{-y}y' + \cos x = 0 $ and graph several members of the family of solutions. How does the solution curve change as the $ C $ varies?

Name: solve the equation e yy cos x 0 and graph several members of the family of solutions how does the so
Uploaded: 2020-05-21
Duration: 1 min 22 s
Channel: Numerade
Description: Solve the equation $ e^{-y}y' + \cos x = 0 $ and graph several members of the family of solutions. How does the solution curve change as the $ C $ varies?

Answer

$y=-\ln (\sin (x)-C)$

Topics

Differential Equations

Calculus: Early Transcendentals

Chapter 9

Differential Equations

Section 3

Separable Equations

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Grace H.

Catherine R.

Missouri State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Watch More Solved Questions in Chapter 9

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Video Transcript

either Power minus y. When? As last Car six equal studio ever needs power minus. Do you worry? It's equal to minus six. Authorities indication. Do the bar minus y Y is given as addition minus six weeks. So what is it for my right over minus? Wanna do minus sine X plus C? Yeah, we have. Why? Don't want to borrow. Why people do sine x minus C one over Shine. It's minus e equals suit you the bar There will be Have Ellen sine x minus C it waas equal lnto LaVar y all we have. Why? Minus lnm are sine X minus c. So this is the answer to live in a

Vikash R.

Other Schools

Topics

Differential Equations

Calculus: Early Transcendentals

Chapter 9

Differential Equations

Section 3

Separable Equations

Problem

Solve the initial-value problem $ y' = (\sin x) \…

Problem 24 Easy Difficulty

Solve the equation $ e^{-y}y' + \cos x = 0 $ and graph several members of the family of solutions. How does the solution curve change as the $ C $ varies?

Answer

$y=-\ln (\sin (x)-C)$

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 2 / BC Educators

Grace H.

Catherine R.

Caleb E.

Kristen K.

Calculus 2 / BC Bootcamp

Integration Review - Intro

Definite vs Indefinite

Recommended Videos

Watch More Solved Questions in Chapter 9

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 2 / BC Educators

Grace H.

Catherine R.

Caleb E.

Kristen K.

Calculus 2 / BC Bootcamp

Integration Review - Intro

Definite vs Indefinite

Recommended Videos