home > q&a board > calculus > topic: seperable differential equations

Q BgQuestion:

Scholar
Karma Points: 241
Respect (96%):
posted by  Matt on 8/12/2007 2:08:58 AM  |  status: Live  
flagged for abuse (1)

Seperable Differential Equations

Course Textbook Chapter Problem
Calculus Calculus: Concepts and Contexts (3rd) by Stewart 7.3 N/A
Question Details:
Does anyone know how to solve this problem?
 
Solve the separable differential equation for u

Use the following initial condition: u(0)=12.
u=?
Bonus Point Alert! Earn +2 additional karma points for helping this annual member.

AAnswers:

Answer Question
Pupil
Karma Points: 77
posted by icypenguenz on 8/12/2007 2:41:21 AM  |  status: Live
Asker's Rating: Helpful   
Matt's comment:
"The computer was wrong."
Response Details:
= e2u+2t

= e2ue2t
 
e-2u= e2t
 
e-2u= e2t
 
e-2u= e2t

e-2u du = e2t  dt

 + c
 
-e-2u = e2t+c
 
e-2u = -e2t+c   (No need to multiply c by -2 since its an unknown constant)
 
-2u= ln (-e2t+c)
 
u(t) = -ln (-e2t+c)
Use the initial condition to find c=e-24+1 
 
u(t) = -ln (-e2t+e-24+1)
 
 
 
 
 
 
Tags: Math, Calculus
Sage
Karma Points: 3,640
posted by virender on 8/12/2007 2:51:44 AM  |  status: Live
Asker's Rating: Not Helpful   
Response Details:
Solve the separable differential equation for u

Use the following initial condition: u(0)=12
      ----(I)
put t=0 u=12
we get
c=-
put for c in (I)
get result
 
THANKS!! BUT DON'T  FORGET TO  RATE MY HARD WORK SUITABLY!!!
Tags: Math, Calculus
Sage
Karma Points: 4,437
posted by Thinker on 8/12/2007 2:51:57 AM  |  status: Live
Asker's Rating: Helpful   
Matt's comment:
"You were right."
Response Details:
Tags: Math, Calculus
Answer Question
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different from tutoring »

Need Help In

Useful Links