Q.4 Solve the wave equation: X U₂ = Uxx +1+t−=(1+e'), U (0,1)= I X U(x,0) = — , U₁(x,0) = T X 0-52. U (л,t) = e' T
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- Solve using wave equation: u(0, t) = u(π, t) = u(x, 0) = 0, du/dt | t = 0 = sin(x)What did you write for the wave equation at the beginning? is that the same as Schrodinger's Eq.?Find u(x,t) from the wave equation, where length of string is L = 1 , c**2 = 1and the initial velocity is zero and the initial deflection is as follows.
- solve the one dimensional wave equation with the boundary conditions and inital conditions as given below: δ2u/δt2 = 1/pi2.δ2u/δx2 u(0,t)= 0, t>0. u(1,t)=0, t>0 u(x,0)= sinππxcosπx, 0<x<1 δu/δt(x,0)=0 0<x<1 using the method of seperation of variableShow that f(x, y) =(Aekx + Be-kx )(Ce2ky + De−2ky) is a solution of the wave equation∂2f/∂y2− 4∂2f/∂x2 =0.for wave equation, seperation of vairables u(x,t)=X=(x)T(t)