Solve the wave equation, a². u(x, t)=0 a²u Jx2 = u(0, t) = 0, u(x, t) = 0, u(x, 0) = 0.01 sin(9x), + อริน at² 0 0 (see (1) in Section 12.4) subject to the given conditions. t> 0 ди = 0, 0 < x < I at t = 0 √3 COS 2 n=1 ( +1 cos(ant)sin(x) ) x PREVIOUS ANSWERS
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- What are two procedures for solving a wave equation on the interval [0, 2]? A complete answer will have a name or description of the procedure and a formula that goes with it. (No need for a proof or a full derivation or a full solution. It’s enough to provide an outline, like the beginning of each procedure or the main steps without details.-2d"f° ,2 8. ,11 ,5 ,-2 ,2 4df?Find the cis tance from the Point (2,5 15) and the line 2y=6x-1
- Question 12 Compute the orthogonal projection of u'onto v. Use the square root symbol 'v' where needed to give an exact value for your answer. 10 2 ư = 5 7 =-2 projzt = |0H.W التغذية الراجعة :- \- Find the aolution of the following equations: (ox<) a) CoSメ- Cask= 0. b) tan2x =3 ban X C S2 cOsX = Sinex- ) 2sinメ= Cos x.(4sin2nー) e) 反 os4X+ sinyxメ= \ ¥) sinx+coSX = 12. The position vector of a particle is given by r(t)= (2 cos t sin t)i +(cos^2 t - sin^2 t)j + (3t)k If the particle begins its motion at t = 0 and ends at t = pi, find the difference between the length of the path traveled and the distance between start position and end position