Differential equation

[Stanisa]

Hi, guys
Would u help me to solve this problem ?

X=(dz/dx)_y , Y=(dx/dy)_z

Show that is:

d²z/dxdy+Y*(d²z/dx²)_y = 0

Thank you

 

[Deleted member 4993]

Hi, guys
Would u help me to solve this problem ?

X=(dz/dx)_y , Y=(dx/dy)_z

Show that is:

d²z/dxdy+Y*(d²z/dx²)_y = 0

Thank you

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[Stanisa]

I know that is:

dz/dx=X
d²z/dxdy=d(X/dy)=0 because y=const.

But i dont know how to show that is Y*(d²z/dx²)_y=0. Can u help me with that ?

Thank you