Solve dy/dx + xy/4-x^2 =1

May 2010
5
0
How can this problems be worked out?

dy/dx + xy/4-x^2 =1 solve this equation for y when x=0 , y=1 and the abs val of x is less than 2.

I know some calculus, but I need help with this. Thank you.
 
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May 2008
138
0
How can this problems be worked out?

dy/dx + xy/4-x^2 =1 solve this equation for y when x=0 , y=1 and the abs val of x is less than 2.

I know some calculus, but I need help with this. Thank you.
Wouldn't your initial values cancel out almost the entire problem?

\(\displaystyle y' + \frac{(0)(1)}{4} - (0)^2 = 1 \)

\(\displaystyle y' = 1 \)
 
May 2010
5
0
No, because I need to solve for Y not Y-prime. I think there is a method to get Y on its own and then plug in the variables.
 

mr fantastic

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How can this problems be worked out?

dy/dx + xy/4-x^2 =1 solve this equation for y when x=0 , y=1 and the abs val of x is less than 2.

I know some calculus, but I need help with this. Thank you.
Start by using the integrating facor technique to get the general solution. Please show your work and say where you're stuck if you need more help.
 
May 2010
5
0
Is this a first order differential equation? I'm asking because I do not know how to perform the technique Mr. Fantastic suggested.
 
Last edited:

mr fantastic

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Is this a first order differential equation? I'm asking because I do not know how to perform the technique Mr. Fantastic suggested.
Yes it is. But I don't understand why you're trying to solve it if you haven't been taught the technique ...? Have you reviewed your class notes and textbook (just in case you have been taught and have just forgotten)
 
May 2010
5
0
No, unfortunately our original teacher died before we could learn the material and our new substitute cannot speak english very well so it is very difficult to follow his teaching. He has assinged the problem and has not taught it. I need the solved version of this for him. Thank you very much for your help mr fantastic.
 

mr fantastic

MHF Hall of Fame
Dec 2007
16,948
6,768
Zeitgeist
No, unfortunately our original teacher died before we could learn the material and our new substitute cannot speak english very well so it is very difficult to follow his teaching. He has assinged the problem and has not taught it. I need the solved version of this for him. Thank you very much for your help mr fantastic.
Read this: Integrating Factor -- from Wolfram MathWorld

Watch this: YouTube - Diff Eq #3 Integrating Factor Example

Now attempt the question. Show all your working and say where you get stuck.
 
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