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## Main Question or Discussion Point

I borrowed this book form the library to get a heads up on what i would be doing in PDEs and it had this equation

xU

and its solution (according to the back) is: u(x,y)=x

I did figure out the f(y/x) part:

dx/x=dy/y

ln(x)+c=ln(y)

cx+y

c=y/x

how did the x

xU

_{x}+yU_{y}=nuand its solution (according to the back) is: u(x,y)=x

^{n}f(y/x)I did figure out the f(y/x) part:

dx/x=dy/y

ln(x)+c=ln(y)

cx+y

c=y/x

how did the x

^{n}come into play