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-(1/4)*cos(2*x)+(1/25)*cos(5*x) incorrect - Cod20) + co(52) At least one of the answers above is NOT correct....
Question 4. Calculate the Fourier sine series and the Fourier cosine series of the function f(x) = sin(x) on the interval [0, 1]. Hint: For the cosine series, it is easiest to use the complex exponential version of Fourier series. Question 5. Solve the following boundary value problem: Ut – 3Uzx = 0, u(0,t) = u(2,t) = 0, u(x,0) = –2? + 22 Question 6. Solve the following boundary value problem: Ut – Uxx = 0, Uz(-7,t) = uz (77,t)...
1 point) Solve the nonhomogeneous heat problem ut=uxx+4sin(2x), 0<x<π,ut=uxx+4sin(2x), 0<x<π, u(0,t)=0, u(π,t)=0u(0,t)=0, u(π,t)=0 u(x,0)=5sin(5x)u(x,0)=5sin(5x) u(x,t)=u(x,t)= Steady State Solution limt→∞u(x,t)=limt→∞u(x,t)= Please show all work. (1 point) Solve the nonhomogeneous heat problem Ut = Uxx + 4 sin(2x), 0< x < , u(0,1) = 0, tu(T, t) = 0 u(x,0) = 5 sin(52) u(a,t) Steady State Solution limt u(x, t) = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts...
(1 point) Solve the nonhomogeneous heat problem Ut = uzz + 4 sin(5x), 0< I<T, u(0, t) = 0, u(T, t) = 0 u(x,0) = sin(3.c) u(x, t) = Steady State Solution lim, , u(x, t)
(1 point) Solve the nonhomogeneous heat problem u; = Uxx + 4 sin(5x), 0 < x < t, u(0, t) = 0, u(1, t) = 0 u(x,0) = 2 sin(2x) u(x, t) = Steady State Solution limt700 u(x, t) =
(1 point) Solve the nonhomogeneous heat problem u, = Uxx + 5 sin(5x), 0<x<1, u(0,t) = 0, u1,t) = 0 u(x,0) = 4 sin(4x) u(x, t) = Steady State Solution lim 700 u(x, t) =
(1 point) Solve the nonhomogeneous heat problem ut = Uxx + sin(3x), 0 < x < 1, u(0,t) = 0, u1,t) = 0 u(x,0) = 2 sin(4x) u(x, t) = Steady State Solution limt-001(x, t) = ((sin(3x))/9)
(1 point) Solve the nonhomogeneous heat problem Ut = uzz + sin(4x), 0 < x < , u(0,t) = 0, u(1,t) = 0 u(x,0) = 5 sin(3x) u(x, t) = Steady State Solution lim700 u(x, t) =
#4.2.3 (e, f, g only) & #4.3.11 (all of it) 42.3) Write down the solutions to the follig inboundary value problems for the wave equation in the form of a Fourier series: (a) utt = uzz , u(t, 0) = u(t, π) = 0, a(0,2) 1, ut(0,x) = 0; (d) ut4u (e) ut.-uzz , u(t, 0)u1) 0, u(0,), u, (0,x; u(t, 0)=ux(t, 1)=0, a(0,2)=1, ut(0,2)=0; (g) utt = uzx , ux(t, 0)-u, (t, 1) = 0, u(0,x)-x(1-x), ut(0,2 )-0. Explain...
(1 point) Solve the nonhomogeneous heat problem Ut Uzz + 3 sin(3.c), 0<x<1, u(0,t) = 0, u(T,t) = 0 u(2,0) sin(52) u(x, t) = Steady State Solution lim oo u(a,t) =
Problem 1 (Submit): Longitudinal vibrations of an elastic bar with zero strain and stress at both ends satisfies the following initial-boundary value problem ras ux(0, t) = uz(r,t) 0 u(z,0) = 5 cos(x), ut(z,0) = 1-cos(2r). (a) Use the method of separation of variables to solve this problem. (b) Find the D'Alembert's solution for this initial-boundary value problem and compare it to the solution you found in (a). Problem 1 (Submit): Longitudinal vibrations of an elastic bar with zero strain...