Question

How to know if a equation is a homogeneous or non homogeneous?

Answer 1

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$\mathfrak{\green{Answer:}}$we say that it is homogenous if and only if g ( x ) ≡ 0 . You can write down many examples of linear differentialequations to check if they arehomogenous or not. For example, y ″ sin ⁡ x + y cos ⁡ x = y ′ is homogenous, but y ″ sin ⁡ x + y tan ⁡ x + x = 0 is not and so on.
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