A differential equation is given along with the field or problem area in which it arises. Classify it as an ordinary differential equation (ODE) or a partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear.
∑1-y d^2y/dx^2 + 2x dy/dx = 0
(Kidder's equation, flow of gases through a porous medium)
Classify the given differential equation. Choose the correct answer below.
linear ordinary differential equation
nonlinear ordinary differential equation
partial differential equation
The order of the differential equation is .
(Type a whole number.)
The independent and the dependent