Sues tion We have a Cinear equation; yux- xuy =0 Initial condition is; u(x1 y-s) =s that is *0, s) = Xols)1y (0, s) =yols)=s, ulo,s) - Uols) -s 1tind the characteristic equations! alx, y,ulux+ b(x,y,uluy-c (x,y,u) alx,y, u) 4) dt blx.y,ul. 12) %3D dt = c(x, y,u) dt → Integrate equations 1-2) using initial equations. Find the solutions clearly interms of t ands. → Integrate equation (3) using initial equ ations. clearly t and s. Tind the solution interms of → Tind the implicit expression relating the solution u and X,y. Also write the solution U intems of X ond 9iulx,y) explcity.

Sues tion We have a Cinear equation; yux- xuy =0 Initial condition is; u(x1 y-s) =s that is *0, s) = Xols)1y (0, s) =yols)=s, ulo,s) - Uols) -s 1tind the characteristic equations! alx, y,ulux+ b(x,y,uluy-c (x,y,u) alx,y, u) 4) dt blx.y,ul. 12) %3D dt = c(x, y,u) dt → Integrate equations 1-2) using initial equations. Find the solutions clearly interms of t ands. → Integrate equation (3) using initial equ ations. clearly t and s. Tind the solution interms of → Tind the implicit expression relating the solution u and X,y. Also write the solution U intems of X ond 9iulx,y) explcity.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.FOM: Focus On Modeling: Vectors Fields

Problem 13P

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