In the xy-plane, new coordinates s and t are defined by = ¹/(x + y), t = 1/(x −y). Transform the equation S= 2² dy² into the new coordinates and deduce that its general solution can be written p(x, y) = f(x+y)+ g(x-y), where f(u) and g(v) are arbitrary functions of u and v, respectively. 2² 0x² = 0

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Q: Find y as a function of a if y(0) = -2, (0) = 9, '(0) = -62. y(x) = y" - 4y" -y + 4y = 0,

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