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(adsbygoogle = window.adsbygoogle || []).push({});

xU_{x}+yU_{y}=nu

and 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

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# Partial Differential Equation

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