Suppose that \(t, x) satisfies the partial differential equation av a āt ar (1²) = 0 (i) state whether this equation is linear homogeneous, linear inhomogeneous or non-linear. explain your answer. (ii) separate the variables in this equation and find separate differential equa- tions for the variables t and x. (iii) hence find an expression for the general solution v(t, x).
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Suppose that \(t, x) satisfies the partial differential equation av a āt ar (1²) = 0 (i) state wheth...
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