Consider the following partial differential equation for with the constant c > 1:

Solution of this equation is \(\frac{{\partial u}}{{\partial y}} + c\frac{{\partial u}}{{\partial x}} = 0\)

1
u(x,y) = f(x + cy)
2
u(x, y) = f(x – cy)
3
u(x, y) = f(cx + y)
4
u(x,y) = f(cx – y)
5
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