2.24, §2 Solution

3 u_xx - 2 u_xy + 2 u_yy - 2 u_yz + 3 u_zz + 12 u_y - 8 u_z = 0

Hence , , .

For ,

For ,

For ,

Could be reduced further: stretch by a factor and by a factor 2 to get rid of the 3 and 4. Set to get rid of the first order derivatives (at the cost of introduction of a zeroth order term).

10/30/00 0:31:58