Homogeneous differential equation

Differential Equations

by

Differential Equations An equation involving independent variable x, dependent variable y and the differential coefficients  is called differential equation. (1) Order of a differential equation: The order of a differential equation is the order of the highest derivative occurring in the differential equation. For example, the order of above differential equations are 1,1,4 and 2 … Read more

Homogeneous Differential Equations

by

Homogeneous Differential Equations Homogeneous differential equation A function f(x,y) is called a homogeneous function of degree if f(λx, λy) = λn f(x, y). For example, f(x, y) = x2 – y2 + 3xy is a homogeneous function of degree 2. A homogenous function of degree n can always be written as If a first-order first-degree differential … Read more