anonymous
  • anonymous
who to identify that the given differential equation is homogeneous and linear
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!
anonymous
  • anonymous
I think it was homogenous if it didnt have a constant in the equation. And its linear if it doesnt have any of the \(y^2, y^3\) etc. or \(y'*y\) or \(y'^2\). I'm not sure if \(x^2\) parts ruins the linearity of the equation.
anonymous
  • anonymous
can you tell me what homogeneous equation actually means
anonymous
  • anonymous
http://en.wikipedia.org/wiki/Homogeneous_differential_equation

Looking for something else?

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

More answers

mathmate
  • mathmate
Linear: the equation contains only y' or y terms, without y^2, y^4, (y')^2 etc in the equation. Homogeneous Examples: \(y′+4x^2y=0\) is a homogeneous differential equation. \(y′+6x^2y=5 \) is inhomogeneous For a linear equation, if you have non-zero terms that do not contain y or y', it is not homogeneous.
anonymous
  • anonymous
the second equation in the example you gave is linear ?
amistre64
  • amistre64
there are 2 definitions of homogenous
amistre64
  • amistre64
the usual definition meaning: this = 0 the other is: f(x,y) such that T(tx,ty) = t f(x,y) or some such

Looking for something else?

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