Separable PDES Q1.Reduce the following PDE equation to ODES via separable method only(No need to Integrate...
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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) (a) (i) Зи, + 4и, + 2и — 0 (ii) 2ur + 5uy5u = 0 (ii) 111 Зи, + 2и, + 6и — 0 (iv) 5ug + 4uy – 2u = 0 (b) (i) (3+ x)uz + (4 + y)uy + x²u = 0 (ii) (2+т)и, + (5 + у)и, + Зхи — 0 (iї) (6+г)и, + (2 +у)и, + (5 +х)и —0 (iv) (5+ т)и, + (4 +у)и, + (т + 3)и — 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 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) Зи, + 4и, + 2и — 0 (ii) 2ur + 5uy5u = 0 (ii) 111 Зи, + 2и, + 6и — 0 (iv) 5ug + 4uy – 2u = 0 (b) (i) (3+ x)uz + (4 + y)uy + x²u = 0 (ii) (2+т)и, + (5 + у)и, + Зхи — 0 (iї) (6+г)и, + (2 +у)и, + (5 +х)и —0 (iv) (5+ т)и, + (4 +у)и, + (т + 3)и — 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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