Solve the wave equation a 2 0 < x< L, t > 0 (see (1) in Section 12.4) subject to the given conditions. = u(0, t) = 0, u(L, t) = 0, t> 0 du u(x, 0) = 0, = x(L - x), 0
Q: a²u Solve the wave equation a². 0 0 (see (1) in Section 12.4) subject to the given conditions. u(0,…
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A: Please see the below picture for detailed solution.
Q: Q3) Solve the Following one -dimensional wave equation utt - Uxx+u = 0 for The boundary conditions…
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A: Solve the wave equation.
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A: Hey since the solution to this was too long therefore I have attached image form of the solution i…
Q: Question 5: Solve the wave equation initial boundary problem by the nethod of separation of…
A: we have 81uxx=utt Let ux,t=XxTt T''81T=X''X=-λ2 ⇒T''+81λ2T=0 .............iand X''+λ2X=0…
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A: Hi! You have posted multiple subparts. We are solving only the first part. If you need an answer to…
Q: 3. Solve the one-dimensional wave equation subject to the following conditions: [v(0,1)= 0, v(7,t)=…
A: Please check next steps for the solution.!
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A: We have to solve the given wave equation.
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A: For the solution follow the next step.
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- PART 4 1 YYYUTY 17. find the equation of the line through point (-1,2,3) and perpendicular to the line for which cos α = ²/3, cox B= - 1²/ a cos y = ²/ 2 3 18. Find the equation of the plane through the point (-1,2,4) and parallel to the plane 2x-3y-52+6=0 2 ( x + 1) + (− 3) ( y − 2) + (~^ s) ( ² − 4 ) = 0 1x - 31 -57 +34=0for wave equation, seperation of vairables u(x,t)=X=(x)T(t)= 2. (Section 14.4) Let curve C be described by vector function(t) (cost 1, sint, ³/2) on 0 ≤ t ≤ b. Find the value(s) of b so that the length of the curve on the given interval is 18 units.