2.1.44 \(3 u_x+2 u_y=0\) with \(u(x,0)=\sin x\). Problem 3.5(a) Lokenath Debnath

problem number 44

Added June 3, 2019.

Problem 3.5(a) nonlinear pde’s by Lokenath Debnath, 3rd edition.

Solve for \(u(x,y)\) \[ 3 u_x+2 u_y=0 \] with \(u(x,0)=\sin x\)

Mathematica


\[\left \{\left \{u(x,y)\to \sin \left (x-\frac {3 y}{2}\right )\right \}\right \}\]

Maple


\[u \left (x , y\right ) = \sin \left (x -\frac {3 y}{2}\right )\]

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