For the following ordinary differential equations identify t

For the following ordinary differential equations, identify their dependent variables, independent variables, their orders and comment if they are linear or nonlinear and homogeneous or nonhomogeneous:

Solution

dy/dx derivative notation means the derivate of y with respect to x, hence y is a dependent variable of the independent variable x.

second-order linear ordinary differential equation is written as y + p(t) y + q(t) y = g(t), it has same formate as given in question.