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QUESTION
The ODE: (x+y)dx+(y-x)dy=0 1) A function f(x,y) is said to be homogeneous of degree of zero when f(tx,ty)=f(x,y).
Hey, can someone please help me with this question I'm stuck with it.
The ODE: (x+y)dx+(y-x)dy=0
1) A function f(x,y) is said to be homogeneous of degree of zero when f(tx,ty)=f(x,y). Show that if f(x,y) is homogeneous of degree 0 then f(x,y)=g(y/x)
2) Solve (x+y)dx+(y-x)dy=0
