A function u(x, y) is known to take values u 1 , u 2 and u 3 at the points (x 1 , y 1 ), (x 2 , y 2 ) and (x 3 , y 3 ) respectively Find the linear interpolating function u a bx cy within the triangle having its vertices at these three points

Question: A function u(x, y) is known to take values u 1 , u 2 and u 3 at the points (x 1 , y 1

A function u(x, y) is known to take values u₁, u₂ and u₃ at the points (x₁, y₁), (x₂, y₂) and (x₃, y₃) respectively. Find the linear interpolating function u = a + bx + cy within the triangle having its vertices at these three points.

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