Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
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
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Amrita Bhasin
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 2 / BC
Chapter 9
Differential Equations
Section 3
Separable Equations
Oregon State University
Baylor University
University of Nottingham
Lectures
13:37
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.
33:32
01:44
Find the solution of the d…
02:47
01:26
03:19
solve the following differ…
03:52
Find the particular soluti…
06:03
05:43
01:42
01:21
01:46
Find the general solution …
01:03
Solve the given differenti…
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
View More Answers From This Book
Find Another Textbook
02:06
I need to see a rough outline of how these triangles are similar before the …
03:33
Birthweight4.554.324.14.073.943.933.773.65
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
01:40
2sin(100)sin(20)
