A function is said to be homogenous if it satisfies which of the following properties? A f("x, "y)=r"f (x,y) f (x.ty)"=t"f (x.y) f (tx,ty) =f (x,y) D f (tx, ty) =t"f (x,y)

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Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.