# Please help me solve this problem. Transform the equation to new variables (u and v). How do you do this?

##
#2x (∂z)/(∂x) - y (∂z)/(∂y)=0#

when

#x= u^2v, and y=1/u#

when

The substitutions:

The partials:

Plugging in:

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To transform an equation to new variables ( u ) and ( v ), you need to use substitution. First, you choose appropriate expressions for ( u ) and ( v ) that simplify the given equation. Then, you express each variable in the original equation in terms of ( u ) and ( v ). Finally, you substitute these expressions into the original equation, replacing the original variables with the corresponding expressions in terms of ( u ) and ( v ). This process helps simplify the equation and may make it easier to solve or analyze.

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