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
Solve the differential equation.$ (e^y - 1)y' = 2 + \cos x $
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
Harvey Mudd College
University of Nottingham
Boston College
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
01:43
Solve the differential equ…
01:12
Solve the given differenti…
03:05
02:01
01:19
this question asks us to solve the differential equation. Eat of the Y minus one times why one which we can write his D y over DX is equivalent to two plus co sign X. Now we know that we want the wise on one side and the exes on one side. So in other words, we need to bring DX over to this side. We bring it over to the right hand side by multiplying book sides by Deac Sweet cancels off from the left. As you can see I'm doing right now. Take the integral of both sides Integrate left hand side to be e the y minus y on the right hand side were adding a variable 2 to 2 acts, plus integral of Cosa nexus, sign axe and then plus C or constant of integration.
View More Answers From This Book
Find Another Textbook
01:31
A water tank can hold 56 1/4-litres of water. How much water is contained in…
in a survey of 364 children aged 19 to 36 months it was found that 91 liked …
01:10
Naman makes soft toys. It costs him * 700 each, he marks it 20% above the co…
01:55
A class consists of 21 boys and 9 girls. A student is to be selected for soc…
02:06
The length of a rectangular feild is thirce of its breadth if the perimeter …
01:03
1. Bob buys a house for $540,000 and conducts extensive repairs worth $220,5…
02:10
the abscissa of a point is 4 find its ordinate if its distance from 1,2 is 5…
02:32
your water bottle contains 21/4 liters of water you drink 10/7 litres every …
02:11
A rectangular field has dimensions 30 m by 12 m. Two mutually perpendicular …