- #1
Tom McCurdy
- 1,020
- 1
I am going to be gone all day tomorrow at a conference track meet and am unable to ask my teacher how to do integrating factors and differential operators. I leave tomorrow at 9:15 am and was hoping to have some examples to take with me to study.
If someone could help me walk through a these it would be great
integrating factor
[tex] (x^4+2y)dx-xdy=0 [/tex] answer: [tex]2y=x^4+cx^2[/tex]
I got it to
[tex] \frac{dy}{dx}-\frac{2y}{x}=x^3 [/tex]
[tex]e^\int{\frac{-2}{x}}=x^{-2} [/tex] = IF ... but what do you do then...
[tex] x^{-2}\frac{dy}{dx}-x^{-2}\frac{2y}{x}=x [/tex]
[tex] x^{-2}\frac{dy}{dx}-\frac{2y}{x^3}=x [/tex]
so then you get yx^-2 but i don't know what to do from here
more to come
If someone could help me walk through a these it would be great
integrating factor
[tex] (x^4+2y)dx-xdy=0 [/tex] answer: [tex]2y=x^4+cx^2[/tex]
I got it to
[tex] \frac{dy}{dx}-\frac{2y}{x}=x^3 [/tex]
[tex]e^\int{\frac{-2}{x}}=x^{-2} [/tex] = IF ... but what do you do then...
[tex] x^{-2}\frac{dy}{dx}-x^{-2}\frac{2y}{x}=x [/tex]
[tex] x^{-2}\frac{dy}{dx}-\frac{2y}{x^3}=x [/tex]
so then you get yx^-2 but i don't know what to do from here
more to come
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