numerical solns to dy/dx=3-y/x on [1,1.5] w/ 0.1 intervals  TOPIC_SOLVED

Limits, differentiation, related rates, integration, trig integrals, etc.

numerical solns to dy/dx=3-y/x on [1,1.5] w/ 0.1 intervals

Postby BRAIN on Sat Apr 25, 2009 9:47 pm

How to obtain Numerical solution for the range x=1 to x=1.5 with intervals of 0.1 if dy/dx=3-y/x?
if dy/dx=3-y/x
BRAIN
 
Posts: 6
Joined: Thu Mar 26, 2009 9:28 pm

Sponsor

Sponsor
 

Re: numerical solns to dy/dx=3-y/x on [1,1.5] w/ 0.1 intervals

Postby Martingale on Sat Apr 25, 2009 11:47 pm

BRAIN wrote:How to obtain Numerical solution for the range x=1 to x=1.5 with intervals of 0.1 if dy/dx=3-y/x?
if dy/dx=3-y/x


Since you didn't indicate which technique to use I'd assume that you are wanting to use the Euler method.


where are you stuck?
User avatar
Martingale
 
Posts: 363
Joined: Mon Mar 30, 2009 1:30 pm
Location: USA

Re: numerical solns to dy/dx=3-y/x on [1,1.5] w/ 0.1 intervals

Postby BRAIN on Sun Apr 26, 2009 10:32 am

Thank you for answer, yes I am using Euler method, I actually worked out to use of euler method but my problem is that to differentiate the dy/dx = 3 - y/x at the beginnining.!? :roll:
Thank you
BRAIN
 
Posts: 6
Joined: Thu Mar 26, 2009 9:28 pm

Re: numerical solns to dy/dx=3-y/x on [1,1.5] w/ 0.1 intervals

Postby Martingale on Sun Apr 26, 2009 4:11 pm

BRAIN wrote:Thank you for answer, yes I am using Euler method, I actually worked out to use of euler method but my problem is that to differentiate the dy/dx = 3 - y/x at the beginnining.!? :roll:
Thank you



why would you want to differentiate ?
User avatar
Martingale
 
Posts: 363
Joined: Mon Mar 30, 2009 1:30 pm
Location: USA

Re: numerical solns to dy/dx=3-y/x on [1,1.5] w/ 0.1 intervals

Postby BRAIN on Sun Apr 26, 2009 6:22 pm

Well I am not sure if I really need to differentiate this equation but in my other class exercise we differentiate dy/dx + y = 2x to 2x-y !
so I thought I need to differentiate dy/dx = 3 - y/x too ! so I was confused with all, Am I wrong?

If I don't need to then I can carry on using Euler method!?

Thanks
BRAIN
 
Posts: 6
Joined: Thu Mar 26, 2009 9:28 pm

Re: numerical solns to dy/dx=3-y/x on [1,1.5] w/ 0.1 intervals  TOPIC_SOLVED

Postby Martingale on Sun Apr 26, 2009 6:49 pm

BRAIN wrote:Well I am not sure if I really need to differentiate this equation but in my other class exercise we differentiate dy/dx + y = 2x to 2x-y !


This is not differentiating... this is just solving for dy/dx (which you want to do). In your problem you already have dy/dx as a function of x and y.


BRAIN wrote:so I thought I need to differentiate dy/dx = 3 - y/x too ! so I was confused with all, Am I wrong?

If I don't need to then I can carry on using Euler method!?

Thanks


no you don't need to differentiate and you can use Euler's method. Just follow the outline in your book, notes or the link I provided above.
User avatar
Martingale
 
Posts: 363
Joined: Mon Mar 30, 2009 1:30 pm
Location: USA


Return to Calculus