Gina
  • Gina
find the general solution of the equation,,,y'+2y=cosx
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Oh dang...i got to brush up on differential equations...um...what did you guys recently learn? What methods?
anonymous
  • anonymous
it's the same as the other one i told you, linear first order
Gina
  • Gina
just show me your answer just wanna be sure

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anonymous
  • 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
Gina
  • Gina
\[(x primey -y)arctgy divx =x; y \x=1=0\]
Gina
  • Gina
\[spaceknight i got a diferent answre and my answer \in the book is ,,,,x^2 +y^2=lncx ^{2}\]
anonymous
  • anonymous
wolfram doesn't lie so either your book is wrong or you're looking at the wrong answer
Gina
  • Gina
\[y'=10^{x+y}\]
Gina
  • Gina
thanx can i also solve physics on that site?
anonymous
  • anonymous
Gina, did you manage to solve this..... also what is the answer in your book?
Gina
  • Gina
my answer is x^2+y^2=\[\ln cx ^{x}\]
Gina
  • Gina
but did not manage it(
anonymous
  • anonymous
This is my answer\[y=2/5*\cos(x)+1/5*\sin(x)+c\]
Gina
  • Gina
\[but how from this ,,,y'=10^{x+y}??\]
anonymous
  • anonymous
nadeem you forgot to divide the e^2x into the constant, but rest is right.
anonymous
  • anonymous
sorry typo this would be it: \[y=2/5∗\cos(x)+1/5∗\sin(x)+ce^{2x}\]
anonymous
  • anonymous
Thanks for the reminder spaceknight
anonymous
  • anonymous
Solve the differential equation using an integrating factor, which is 2 in your case
anonymous
  • anonymous
not 2 but e^2x
Gina
  • Gina
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
  • Gina
\[\int\limits_{?}^{?} dx \div cosx \times \sin ^{3}x\]

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