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**Solve the first order hyperbolic equation**

3 du/dx + 2x du/dt =2u

With initial condition: u(x,0) = 2x+4

**My attempt at a solution**

I usually adopt the method of characteristics:

dx/a = dt/b = du/c

So from the above:

a=3, b=2x and c=2u

am I on the right track here?