Question

a+b+c=0 is it homogeneous equation?

Answer 1

lol ... never seen such type of equation.

Answer 2

let a = y'', b= y' & c =y. And g(t)=0

Answer 3

now?

Answer 4

This is the asker

let a = y'', b= y' & c =y. And g(t) is not equal to 0

Answer 5

@experimentX why what's wrong with this equation?

Answer 6

i though they were constants.

Answer 7

anyway if a = y'', b= y' & c =y. And g(t) is not equal to 0 then it's non homogeneous equation so does it mean that if an equation is equal to 0 then it's homo otherwise nonhomo? (anything on the right side is zero = homo otherwise nonhomo?)

Answer 8

there are a few different meanings of the term homogenous

Answer 9

Ax = 0 is one way to define a homog eq

and separable is another wat to define a homog eq

Answer 10

@amistre64 thanks for replying to my any problem after such a long time :D actually I am lil confused that at http://tutorial.math.lamar.edu/Classes/DE/SecondOrderConcepts.aspx the definition of homo & non homo makes me to think that if an equation is equal to 0 then it's homo otherwise nonhomo (about diff eq) but on the other side when we are talking about it's system at http://tutorial.math.lamar.edu/Classes/DE/SystemsDE.aspx (at the bottom of the webpage) it says the same thing but this time g(t) is not on the other side of equation it's in the equation

Answer 11

the bottom one is the linear algebra vector space definition of an homog eq

Answer 12

okkkkkkkkkkkkkkkkk

Answer 13

got it now I remember it thanks @amistre64

Answer 14

yep