- #1
Easty
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b]1. Homework Statement [/b]
Find the characteristics, and then the solution, of the partial differential equation
x[tex]\frac{\partial u}{\partial x}[/tex]+xy[tex]\frac{\partial u}{\partial y}[/tex]+z[tex]\frac{\partial u}{\partial z}[/tex]=0
given that u(1, y, z)=yz
Found this question on an old exam and am not quite sure what to do.
Initialy i tried to take the z derivative to the other side and still take dy/dy=y to be the characteristics, leaving me to solve
x[tex]\frac{\partial u}{\partial x}[/tex]+z[tex]\frac{\partial u}{\partial z}[/tex]=0.
but i think that's wrong.
Could someone please point me in the right direction.
thanks
[
Find the characteristics, and then the solution, of the partial differential equation
x[tex]\frac{\partial u}{\partial x}[/tex]+xy[tex]\frac{\partial u}{\partial y}[/tex]+z[tex]\frac{\partial u}{\partial z}[/tex]=0
given that u(1, y, z)=yz
Homework Equations
The Attempt at a Solution
Found this question on an old exam and am not quite sure what to do.
Initialy i tried to take the z derivative to the other side and still take dy/dy=y to be the characteristics, leaving me to solve
x[tex]\frac{\partial u}{\partial x}[/tex]+z[tex]\frac{\partial u}{\partial z}[/tex]=0.
but i think that's wrong.
Could someone please point me in the right direction.
thanks
[