## anonymous 5 years ago find the general solution of the equation,,,y'+2y=cosx

1. anonymous

Oh dang...i got to brush up on differential equations...um...what did you guys recently learn? What methods?

2. anonymous

it's the same as the other one i told you, linear first order

3. anonymous

4. anonymous

well, you can always differentiate and plug it back into the original to check if you want with something simple like this, but anyhow, http://www.wolframalpha.com/input/?i=y%27%2B2y%3Dcosx wolfram will make life so much easier

5. anonymous

$(x primey -y)arctgy divx =x; y \x=1=0$

6. anonymous

$spaceknight i got a diferent answre and my answer \in the book is ,,,,x^2 +y^2=lncx ^{2}$

7. anonymous

wolfram doesn't lie so either your book is wrong or you're looking at the wrong answer

8. anonymous

$y'=10^{x+y}$

9. anonymous

thanx can i also solve physics on that site?

10. anonymous

Gina, did you manage to solve this..... also what is the answer in your book?

11. anonymous

my answer is x^2+y^2=$\ln cx ^{x}$

12. anonymous

but did not manage it(

13. anonymous

This is my answer$y=2/5*\cos(x)+1/5*\sin(x)+c$

14. anonymous

$but how from this ,,,y'=10^{x+y}??$

15. anonymous

nadeem you forgot to divide the e^2x into the constant, but rest is right.

16. anonymous

sorry typo this would be it: $y=2/5∗\cos(x)+1/5∗\sin(x)+ce^{2x}$

17. anonymous

Thanks for the reminder spaceknight

18. anonymous

Solve the differential equation using an integrating factor, which is 2 in your case

19. anonymous

not 2 but e^2x

20. anonymous

help with physics ,,,,the space between the plates of a plane capacitor filled with mica (e = 7). area of the capacitor plates is 50cm ^ 2. determine the surface density of bound charges on mica, if the capacitor plates attract each other with a force

21. anonymous

$\int\limits_{?}^{?} dx \div cosx \times \sin ^{3}x$