anonymous
  • anonymous
dy/dx = y/(x+y^2cos y)
Physics
  • 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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
JamesJ
  • JamesJ
This problem really belongs in mathematics, but it's so good I'll try and answer it here. It's easiest to think of this as dx/dy = (x + y^2 cos y)/y = x/y + y cos y or x' - (1/y)x = y cos y Given that form, you can solve using standard first-order ODE techniques.
JamesJ
  • JamesJ
i.e., x(y) = Ay + By.sin y Now you need to invert that equation. As you can see, the inverse in general won't be pretty.
anonymous
  • anonymous
thanks dude

Looking for something else?

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

More answers

anonymous
  • anonymous
invert the already inverted one?
JamesJ
  • JamesJ
I mean you'd need to find the inverse function of x(y).
anonymous
  • anonymous
please explain
JamesJ
  • JamesJ
Your original equation implicitly asks for a solution y = f(x), y as a function of x. The solution I've provided gives x as a function of y. Hence if you actually need y = f(x), then you'll need to find the inverse function of x = g(y) = Ay + By.sin y The inverse function of g will be the function f. \[ f^{-1} = g \]
anonymous
  • anonymous
Thanks again homie

Looking for something else?

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