Asecond-order linear differential equation for y(t) is said to be homogeneous every term involve either y or its derivatives, every term involve either tor its derivatives. every term is nonconstant. all terms are either constants or continuous functions in t.

Hello!

A second order differential equation has the next shape:

where p(t), q(t) and g(t) are functions of t, that can be constant numbers for example.

And is called homogeneus when g(t) = 0, so you have:

Then a second order differential equation is homogeneus ef every term involve either y or the derivatives of y.

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