anonymous
  • anonymous
Solve the equation for y in terms of x: 3y + 2y^2 = -e^(-x) - e^(x) + 7
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
dinamix
  • dinamix
its not differential equation ?
anonymous
  • anonymous
Ill post the entire question and maybe that'll help
anonymous
  • anonymous
Find the solution to the initial value problem in explicit form \[y' = \frac{e^{-x} - e^{x}}{3 + 4y}\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
y(0) = 1
anonymous
  • anonymous
@dan815 ?
freckles
  • freckles
y'*y doesn't equal y^2
freckles
  • freckles
\[(3+4y) dy=(e^{-x}-e^{x} )dx\] equation is seperable integrate both sides
freckles
  • freckles
oh wait are you saying you think you found the solution to that?
anonymous
  • anonymous
yes i believe so and now i need it in explicit form
anonymous
  • anonymous
I believe i have found the correct value for the constant c given the initial value as well
freckles
  • freckles
your solution is correct
freckles
  • freckles
don't believe you can find explicit form
anonymous
  • anonymous
the answer in the back of the book has done it some how.
freckles
  • freckles
hmmm well you have a quadratic in terms of y
freckles
  • freckles
\[2y^2-3y+e^{-x}+e^{x}-7=0 \\ y=\frac{-(-3) \pm \sqrt{(-3)^2-4(2)(e^{-x}+e^{x}-7)}}{2(2)}\]
freckles
  • freckles
though the implicit form looks much better to me
anonymous
  • anonymous
that looks like the answer, how'd you do that?!
freckles
  • freckles
it is a quadratic in terms of y
freckles
  • freckles
all i did was use the quadratic formula
freckles
  • freckles
a=2 b=-3 c=e^(-x)+e^x-7
anonymous
  • anonymous
ohhhhh
anonymous
  • anonymous
i gotcha now
anonymous
  • anonymous
Thank you!!!!!!
freckles
  • freckles
np

Looking for something else?

Not the answer you are looking for? Search for more explanations.