Question: 1. Consider the first-order equation du Ou = 0. ar - 3 ay Find the characteristic curves in the explicit form y = y(r, ()

1. Consider the first-order equation du Ou = 0. ar - 3 ay Find the characteristic curves in the explicit form y = y(r, () where C is an arbitrary constant. Convert these to the implicit form f(r, y) = C and hence obtain the general solution of the partial differential equation. Find also the particular solution satisfying the boundary condition u(x, 0) = cos (2r)

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