Q 1. (a) Reduce the following PDE equation via Characteristic to ODES(No need to solve them)...
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Q 1. (a) Reduce the following PDE equation via Characteristic to ODES(No need to solve them) in terms of y=y(x), u=u(x) and u=u(y) (3 + x²)ux + (4 + x * y)uy = 5u +3 (b) 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) (i) 3ux + 4uy = 0 (ii) 5uxx + 3uyy + 4uzz = 0 Q 1. (a) Reduce the following PDE equation via Characteristic to ODES(No need to solve them) in terms of y=y(x), u=u(x) and u=u(y) (3 + x²)ux + (4 + x * y)uy = 5u +3 (b) 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) (i) 3ux + 4uy = 0 (ii) 5uxx + 3uyy + 4uzz = 0
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