find the general solution of the equation,,,y'+2y=cosx

Question

anonymous · Answer

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

anonymous · Answer

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

gina · Answer

just show me your answer just wanna be sure

anonymous · Answer

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

gina · Answer

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

gina · Answer

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

anonymous · Answer

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

gina · Answer

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

gina · Answer

thanx can i also solve physics on that site?

anonymous · Answer

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

gina · Answer

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

gina · Answer

but did not manage it(

anonymous · Answer

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

gina · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Thanks for the reminder spaceknight

anonymous · Answer

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

anonymous · Answer

not 2 but e^2x

gina · Answer

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

gina · Answer

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