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1. Solve Ut-Ux. BCs şu(0t)=D0 lu1Bt)=3 IC u(x0)=4x-x² 0T4) = Aet X"t A²X=0 => xu)= Bsin ArtACCoS(A ulx.t) basy VA e-2t (D sin(Ax) tE ws (An)) 4(0,E) =0 > Ee 12E -0>E-0 Sin d= 3 Sand=3. () SDAWAADM Sind=l %3D u(3it) =3 =) De^t myst D=3 %3D

1. Solve Ut-Ux. BCs şu(0t)=D0 lu1Bt)=3 IC u(x0)=4x-x² 0T4) = Aet X"t A²X=0 => xu)= Bsin ArtACCoS(A ulx.t) basy VA e-2t (D sin(Ax) tE ws (An)) 4(0,E) =0 > Ee 12E -0>E-0 Sin d= 3 Sand=3. () SDAWAADM Sind=l %3D u(3it) =3 =) De^t myst D=3 %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Partial Differential Equation

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1. Solve Ut-Ux. BCs şu(0t)=D0 lu1Bt)=3 IC u(x0)=4x-x² 0<X<3 0<x< 3 t70 Separation of variables let ucx,t)= X (x)T(t) A=0, San 15 trivial A+0 T+ XZ T=0 >T4) = Aet X"t A²X=0 => xu)= Bsin ArtACCoS(A ulx.t) basy VA e-2t (D sin(Ax) tE ws (An)) 4(0,E) =0 > Ee 12E -0>E-0 Sin d= 3 Sand=3. () SDAWAADM Sind=l %3D u(3it) =3 =) De^t myst D=3 %3D
Transcribed Image Text:1. Solve Ut-Ux. BCs şu(0t)=D0 lu1Bt)=3 IC u(x0)=4x-x² 0<X<3 0<x< 3 t70 Separation of variables let ucx,t)= X (x)T(t) A=0, San 15 trivial A+0 T+ XZ T=0 >T4) = Aet X"t A²X=0 => xu)= Bsin ArtACCoS(A ulx.t) basy VA e-2t (D sin(Ax) tE ws (An)) 4(0,E) =0 > Ee 12E -0>E-0 Sin d= 3 Sand=3. () SDAWAADM Sind=l %3D u(3it) =3 =) De^t myst D=3 %3D
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