Consider xy²ux + yx²uy = (x² + y²)u. a) Find the general solution of the equation. b) Find the solution of the equation with the initial conditions u = (y+y³) on the line x = 1. Is the solution unique? Explain your answer. c) Find the solution of the equation with the initial conditions u = solution unique? Explain your answer. xy on the curve x² - y² = 1. Is the

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