quiz7a - Math 415.01 TA: Younghwan Son Form A Quiz 7 Name:

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Unformatted text preview: Math 415.01 TA: Younghwan Son Form A Quiz 7 Name: _______________________ __ Rec. Time: ___________________ __ Show all work; answers with insufficient support will not receive credit. GOOD LUCK! 1 1.Show that x = ( 0 ) e‘ + 2 ( i ) te‘ is a solution of the equation 2. Find the solution of u(z, y) for an + um, = 0 in the rectangle 0 < x < a, 0 < y < b with boundary condition u(0, y) = 0, u(a,y) = 0 u(a:, 0) = 0,u(m, b) = Mm) LN (“’97) =‘ XMUYUJ) wi‘Hn X(°)=X(0\/=0, Y(°)=o_ x” W :o =) X”Y+XY’/:o 7:) X __ T- - Tkefl. Xll4. )X20 )(f'.~):)((m)._:O \ ._ Na“; n-fl'): F) A r E ) X“ : [MT r, x \( " )‘v ( ~o DELL YL°P=0 =) Y N773, J.“ A ml: 5 ( (all ‘0'?"— + kk l “a ._ JIMA Y (9)50 ‘3) IE/zo 7:, "' a: "77 M3 -: Ch III/1 7): NA a on 2 m; 5/1» n7? 1 F170)!» U(Y,.§) =— 10” =) fi' T 7 : 1" L1} '2 a Mr (A 5/31 0 a K- Aot/ [W F (n ...
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quiz7a - Math 415.01 TA: Younghwan Son Form A Quiz 7 Name:

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