Show transcribed image text Homogeneous DE. " the ri ht side of the equation立ㄧ xy can be expressed as a function of the ratio r omy, then the equation i. said to be hon ogeneous Such equations by a change of the dependent variable. (The word homogeneous has different ations can a vays be transformed into separable meanings in different mathematical contexts. The homogeneous equations considered here have nothing to do with the b To make the change of varlable letor equlvalently y x. we consider v as function of x. The first stop is to espress t in terme fThe rewuiting epuation wll be separable, For more details see the class notes Solve the homogeneous DE The solution will be an impla expression, write y solution in the form, Cx-K,y), where C is a constant of integration.