Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Find the solution of the differential equation th…

01:57

Question

Answered step-by-step

Problem 15 Easy Difficulty

Find the solution of the differential equation that satisfies the given initial condition.
$ x \ln x = y(1 + \sqrt {3 + y^2}) y', y(1) = 1 $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Amrita Bhasin
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Amrita Bhasin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 9

Differential Equations

Section 3

Separable Equations

Related Topics

Differential Equations

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Grace He
Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

Calculus 2 / BC Courses

Lectures

Video Thumbnail

13:37

Differential Equations - Overview

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. An ordinary differential equation (ODE) is a differential equation containing one or more derivatives of a function and their rates of change with respect to the function itself; it can be used to model a wide variety of phenomena. Differential equations can be used to describe many phenomena in physics, including sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, quantum mechanics, and general relativity.

Video Thumbnail

33:32

Differential Equations - Example 1

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. An ordinary differential equation (ODE) is a differential equation containing one or more derivatives of a function and their rates of change with respect to the function itself; it can be used to model a wide variety of phenomena. Differential equations can be used to describe many phenomena in physics, including sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, quantum mechanics, and general relativity.

Join Course
Recommended Videos

01:44

Find the solution of the d…

02:47

Find the solution of the d…

01:26

Find the solution of the d…

03:19

solve the following differ…

03:52

Find the particular soluti…

06:03

Find the particular soluti…

05:43

Find the solution of the d…

01:42

Find the particular soluti…

01:21

Find the solution of the d…

01:46

Find the general solution …

01:03

Solve the given differenti…

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

this question asked us to find the solution of the differential equation that satisfies the given initial condition. We know that what we're gonna want to do is put all the left him terms on the left hand side, involving acts and then all the terms involving why on the right hand side, we can split up. Why do you why plus y squared of three y squared And then we know that we have the white, the end. Therefore, we can integrate each of thes three parts separately to give us X squared over to cause X integrates to export over too. And then we have plus C cause we're integrating. Now we know that why have one is one has given the problem. Therefore, we know we can plug in. Why have one is one to give us a sea of negative 41 divided by 12. Therefore, our final solution is the exact same equation we figured out in the previous slide. But instead of pussy, we're gonna be playing in what C is, and it's negative

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
178
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
75
Hosted by: Alonso M
See More

Related Topics

Differential Equations

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Heather Zimmers

Oregon State University

Caleb Elmore

Baylor University

Samuel Hannah

University of Nottingham

Calculus 2 / BC Courses

Lectures

Video Thumbnail

13:37

Differential Equations - Overview

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. An ordinary differential equation (ODE) is a differential equation containing one or more derivatives of a function and their rates of change with respect to the function itself; it can be used to model a wide variety of phenomena. Differential equations can be used to describe many phenomena in physics, including sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, quantum mechanics, and general relativity.

Video Thumbnail

33:32

Differential Equations - Example 1

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. An ordinary differential equation (ODE) is a differential equation containing one or more derivatives of a function and their rates of change with respect to the function itself; it can be used to model a wide variety of phenomena. Differential equations can be used to describe many phenomena in physics, including sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, quantum mechanics, and general relativity.

Join Course
Recommended Videos

01:44

Find the solution of the differential equation that satisfies the given initial…

02:47

Find the solution of the differential equation that satisfies the given initial…

01:26

Find the solution of the differential equation that satisfies the given initial…

03:19

solve the following differential equation

03:52

Find the particular solution that satisfies the initial condition. Differential…

06:03

Find the particular solution that satisfies the initial condition. Differential…

05:43

Find the solution of the differential equation that satisfies the given initial…

01:42

Find the particular solution to the differential equation $y^{\prime}\left(1-x^…

01:21

Find the solution of the differential equation that satisfies the given initial…

01:46

Find the general solution to the exact differential equation. $\frac{d y}{d x}…

01:03

Solve the given differential equations. $$x y y^{\prime}+\sqrt{1+y^{2}}=0$$
Additional Mathematics Questions

02:06

I need to see a rough outline of how these triangles are similar before the …

02:06

I need to see a rough outline of how these triangles are similar before the …

03:33

Birthweight
4.55
4.32
4.1
4.07
3.94
3.93
3.77
3.65

01:24

Make a Conjecture Prediet the sign of each product. Give an example that sup…

04:18

Can I get help on how to find the sample size for a and b?

08:09

I need help with this please

19:42

Please help me with this one

02:35

The ages of people in a class (to the nearest year) are as follows:
Age 1…

03:53

The ages of people in a class (to the nearest year) are as follows:
Age 1…

01:40

2sin(100)sin(20)

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started