A place for everything about math

1169 readers

1 users here now

founded 6 years ago

MODERATORS

antimatroid@lemmy.ml

Need help from someone savy with differential equtions (lemmy.ml)

submitted 1 week ago by polotype@lemmy.ml to c/math@lemmy.ml

10 comments fedilink hide all child comments

So i fell upon the following differential equation : X''(t)X⁴(t)=f(t) I couldn't find anything similar on internet... Thanks in advance !

you are viewing a single comment's thread
view the rest of the comments

[–] polotype@lemmy.ml 1 points 4 days ago (1 children)

Hi again ! In your reply, you told me :

this means f is a sum of exponetial

However. For the case wher f is of the form f=A•t•exp(b•t), i don't know how to convert that as a sum of exponential... I'm asking because i feel like i could just take x to be an indefinite sum of exponentials which might end up giving me some quite nice solutions... If only i could get a sum of exponentials on the other side of the equation ;)

[–] PM_ME_VINTAGE_30S@anarchist.nexus 1 points 3 days ago* (last edited 3 days ago)

Sorry, I was being a bit sloppy in the first answer. Your f=A•t•exp(b•t) term is, in general, part of the expected function space. (I just kinda forgot because in control systems, we often assume distinct real system poles for simplicity in teaching the material.)