An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.

What is integrating factor of linear differential equation? Ans: assume y = y(x) in the given linear ODE. Then, by an integrating factor of this ODE, we mean a function g(x) such that upon multiplying the ODE by g(x), it is transformed into an exact differential of the nform d[f(x)] = 0.

the Bratu's equation is a differential equation which is non-linear (such as, if we have some solutions for it, a linear combinaison of these solutions will not be everytime a solution). It's given by the equation

y''+a*e^y=0

or

d²y/dy² =-ae^y.

Homogeneous differential equations have all terms involving the dependent variable and its derivatives, while non-homogeneous equations include additional terms independent of the dependent variable.

That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential