2(x, y) = c f ( yc), (2,4) R { (t, 0) |t R},...

 

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2(x, y) = c" f ( yc), (2,4) € R² \ { (t, 0) |t €R}, where f(t) is differentiable for all te R. Show that z satisfies the partial differential cquation dz (x2 – y) for all (r, y) E R² \ { (t, 0) |t eR}. dz = ryz %3D fil fx + [10 marks] 2(x, y) = c" f ( yc), (2,4) € R² \ { (t, 0) |t €R}, where f(t) is differentiable for all te R. Show that z satisfies the partial differential cquation dz (x2 – y) for all (r, y) E R² \ { (t, 0) |t eR}. dz = ryz %3D fil fx + [10 marks]