Recent content by jomomma

yes, i can and i have, but i wanted third party confirmation, because i may not have included all solutions or may have made a mistake

could someone verify whether the correct answer is u(x,y,z)=\varphi(xe^{-z},ye^{-2z})e^{3z}

I tried doing characteristics but i am getting confused with the u_z term. Heres what i do \[ \frac{dx}{dt}&=&x\Rightarrow x=x_0e^t \] \[ \frac{dy}{dt}&=&2y\Rightarrow y=y_0e^2t \] \[ \frac{dz}{dt}&=&1\Rightarrow z=z_0 + t \] \[ \frac{du}{dt}&=&3u\Rightarrow u=u_0e^3t \]...

http://mathbin.net/906 cant figure this one out