3.7 2 Find the values of the numbers a and b such that the change of variables u = x + ay, v = x + by transforms the differential equation 9³ƒ_9_³ƒ_ + 2³ƒ = 0 axdy dy² - dx² into of = 0 dudv Hence deduce that the general solution of the equation is given by u(x, y) = f(x + 3y) + g(x + y) where fand g are arbitrary functions. Find the solution of the differential equation that satisfies the conditions u(x, 0) = sin x, Ju(x,0) = 3 cos x dy

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