# 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

##### 1 Answer

Jun 28, 2018

For

#2x \ bbz_x - y \ bbz_y=0 qquad square#

The substitutions:

The partials:

#bbz_x = z_u u_x + z_v v_x#

#bbz_y = z_u u_y + z_v v_y #

Plugging in:

Any function with the argument