Doubt or problem in this then comment below...i will explain you..
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please thumbs up for this solution...thanks..
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answer = option d ....
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Here we take
U = w + (x+1)
So , w(x,t) satisfy homogeneous conditions...
p5:01 24% 10: 13.5K/s OUMNIAH Aransform the following BVP un = 4 Uxx 0<x<1, t>O u(0,...
Exercise 4.3.2. Given the BVP-u' =f(x), u(0) = a, u'(1) = b 0 < x < 1. Here the BC's are inhomogeneous. Present the weak formulation of this prob- lem. Hint: Introduce the help function w(x) through u(x)=w(x)+a+bx, where w(0) = 0, w'( 1 ) = 0
(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+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 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 heat problem U4 = Uxx, 0 < x < 1, uz (0,t) = 0, uz(t,t) = 0 u(x,0) = cos? (x) (THINK) u(x, t) =
Problem # 3 [20 Points] Solve PDE: ut = uxx - u, 0 < x < 1, 0 < t < ∞ BCs: u(0, t)=0 u(1, t)=0 0 < t < ∞ IC: u(x, 0) = sin(πx), 0 ≤ x ≤ 1 directly by separation of variables without making any preliminary trans- formation. Does your solution agree with the solution you would obtain if transformation u(x, t)= e(caret)(-t) w(x, t) were made in advance?
PDE: Ut = Uxx, -00 < x < 0, t> 0 IC: u(x,0) = 38(x) + 28(x – 6) where is the Dirac delta function (impulse). u(x, t) =
Assignment 0220 Marks) Solve the following IVBP: PDE : Uxx = (1/25) utt ICs: u (x,0) = x2 (nt - x), ut (x,0) = sin(x) BCs: u(0,t) = 0, u(nt,t) = 0 for 0<x<, t> 0. for 0<x<T. for t>0.
(1 point) Solve the nonhomogeneous heat problem U; = Uxx + sin(4x), 0 < x < 1, u(0, t) = 0, u(a,t) = 0 u(x,0) = - 3 sin(2x) u(x, t) = Steady State Solution limt700 u(x, t) =
Using Integration Factor method to solve General b) Find Green's function for the BVP y(4) = -f, 0<x< 1, y(0) = y'(0) = y(1) = y'(1) = 0. u(n) = axu(k-1) +g(t) k=1 lo U(t) = U(0)U1(t) +Ư (0)U2(t) + ... +Un-1)(0)Un(t) +| Unt – TÌq(T)dx U (0) = 0 U (0) = 0 Tkk-2)(0) = 0 vlk-1)(0) = 1 - (0) = 0 Un-1)(0) = 0