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3. For the equation 24 = r, in 0 <<1,0<t<1, (1,0) = sin(x), on 0 SEST (0,1)=0, u(1. t) = 0, on 0 <t<1, (1) Using the separati
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Answer #1

We have solved the given PDE using the method of separation of variables.

15750 u(x,o)-in (x) u (0,t) o, ul7,) 0, on et noloe the poroblem uning neparo on ed ponoblen hel u(x,t)X() T(t) (3,)Xx) Tle)Fore a have, non-taivial nalntion, we .. সn ) n1,L,3, -- Peni tive eigen valuer nd cnenpen ding egen vectors Gne, XA (a)nin (Comple de iot d eigen ualnes mmd eigen vectory dor this problem, XnLa)=in hx) n-1,,3,-- Naw Seling we et, T/t) nednt Tt) CentThe solution of given PDE is, ua, t)sin(r) e -t

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3. For the equation 24 = r, in 0 <<1,0<t<1, (1,0) = sin(x), on 0 SEST...
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