Ask
your own question, for FREE!

Mathematics
38 Online

OpenStudy (anonymous):

What does it mean for a differential equation to be homogenous? I don't quite understand the notation in the definition.

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (shadowfiend):

I believe it basically means that if you add together a set of solutions, you still get a solution, and multiples of solutions are likewise solutions to the differential equation. Hope someone else can expand further :)

OpenStudy (anonymous):

So how can I recognize a homogenous equation?

OpenStudy (anonymous):

If a differential equation is in terms of y (i.e. y'' + y' + y, etc.), it is said to be homogeneous as long as there is no term without a y. So for example $$\frac{dy}{dx} + y = 0$$ is homogeneous, but $$\frac{dy}{dx} + y = 13$$ is not, because the 13 is not in terms of the y.

Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!

Join our real-time social learning platform and learn together with your friends!

Latest Questions

letsnot:
Compare and contrast the similarities and differences of legal stimulants, particularly caffeine, alcohol, and nicotine to illegal/prescription stimulants s

12 minutes ago
4 Replies
0 Medals

PureSoulless:
Well, I'm tryna make a song that actually sounds good, and here's how it's going. Tell me if it sucks or not please. (Honest answers pls) https://musiclab.chromeexperiments.com/Song-Maker/song/5055993600540672

1 hour ago
4 Replies
1 Medal

Tbone:
Ok... Someone explain.... Why do female hyenas have that thing? Most the babies get souphocated tryna be born.

1 day ago
9 Replies
1 Medal

Vxkbliss:
Can yall solveu2620ufe0f ... Find the equation of the tangent at ( 0 , 2) to the

1 day ago
6 Replies
6 Medals

MissLatina:
Anyone wanna be my friend? also can u all help me whith this pls?

1 day ago
4 Replies
0 Medals

KyledaGreat:
How do match-ups in Golden Gloves boxing work and win a champIonship?

1 day ago
3 Replies
1 Medal

chuckthedonut:
I need help really bad...can someone help? The manager of a grocery store wants to estimate the percentage of his customers who like orange juice.

1 day ago
26 Replies
3 Medals