Question

What is a homogeneous differential equation?

Answer 1

a DE of the form\[p_n(x)y^{(n)}+p_{n-1}(x)y^{(n-1)}+...+p_2(x)y''+p_1(x)y'+p_0(x)y=0\]

Answer 2

Like a taylor polynomial then?

Answer 3

... p0(x)y= f(x) <--- if you have f(x) here ... non homogeneous
if not ...p0(x)y=0 <--- homogeneous

Answer 4

Ok, thanks