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Separable PDES Q1.Reduce the following PDE equation to ODES via separable method only(No need to Integrate them) in terms of y=y(x), u=u(x) and u=u(y)

Separable PDES Q1.Reduce the following PDE equation to ODES via separable method only(No need to Integrate them) in terms of y=y(x), u=u(x) and u=u(y) (a) (i) , + 4, + 2 0 (ii) 2ur + 5uy5u = 0 (ii) 111 , + 2, + 6 0 (iv) 5ug + 4uy 2u = 0 (b) (i) (3+ x)uz + (4 + y)uy + xu = 0 (ii) (2+), + (5 + ), + 0 (i) (6+), + (2 +), + (5 +) 0 (iv) (5+ ), + (4 +), + ( + 3) 0 (c) (i) (3+ x)ur + (4 + y)u, = 2u + 4 (ii) 11 (2+ x)u, + (5+ y)uy = 5u +3 (iii) (6+ x)ur + (2+ y)uy = 6u + 1 (iv) (5+ x)ur + (4 + y)uy = 7u +2

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