Question 2 Consider the equation a²u ey 22u + 2x axay ду? ди 2x ay ezy = X ER, Y > 0. 2 = (i) Given the characteristics,

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Question 2 Consider the equation a²u ey 22u + 2x axay ду? ди 2x ay ezy = X ER, Y > 0. 2 = (i) Given the characteristics,

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Question 2 Consider the equation a²u ey 22u + 2x axay ду? ди 2x ay ezy = X ER, Y > 0. 2 = (i) Given the characteristics, x = C1 and x2 – ey C2, reduce the equation to canonical form and find the general solution. (ii) Find the solution which satisfies the conditions u(x,0) = x — xº, wy(x,0) = x+1, XER. = 2
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