2.1.53 \(x u_x+y u_y+z u_z=0\) Problem 3.8(a) .Lokenath Debnath

problem number 53

Added June 3, 2019.

Problem 3.8(a) nonlinear pde’s by Lokenath Debnath, 3rd edition.

Solve for \(u(x,y,z)\) \[ x u_x+y u_y+z u_z=0 \]

Mathematica


\[\left \{\left \{u(x,y,z)\to c_1\left (\frac {y}{x},\frac {z}{x}\right )\right \}\right \}\]

Maple


\[u \left (x , y , z\right ) = \mathit {\_F1} \left (y -\ln (x ), z -\ln (x )\right )\]

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