jean15paul
New member
- Joined
- Nov 25, 2007
- Messages
- 2
I'm an engineering grad student and my professor gave me this excercise. I don't even have to solve this PDE just seperate the variables (multiplicative, not additive).
dT/dz + (1/x)*dT/dy + d[sup:251852j2]2[/sup:251852j2]T/dx[sup:251852j2]2[/sup:251852j2] = 0
where T(x,y,z) = X(x)*Y(y)*Z(z)
This is what I've done so far:
(plug in definition of T(x,y,z) above)
XYZ' + (1/x) * XY'Z + X''YZ = 0
(divide all terms by XYZ)
Z'/Z + (1/x) Y'/Y + X''/X = 0
Now I can't figure out how to get the (1/x) with only the X''/X term.
Can anyone help?
dT/dz + (1/x)*dT/dy + d[sup:251852j2]2[/sup:251852j2]T/dx[sup:251852j2]2[/sup:251852j2] = 0
where T(x,y,z) = X(x)*Y(y)*Z(z)
This is what I've done so far:
(plug in definition of T(x,y,z) above)
XYZ' + (1/x) * XY'Z + X''YZ = 0
(divide all terms by XYZ)
Z'/Z + (1/x) Y'/Y + X''/X = 0
Now I can't figure out how to get the (1/x) with only the X''/X term.
Can anyone help?