2.20 Find the solution of the wave equation a?u dx? dy? y > 0 with initial data u(х,0) — 1 и, (х,0) — 0

Q: 14. The position vector of a particle of mass 2kg is given as a function of time by: I r= = (4i + 2t…

A: Solution:-

Q: السؤال الثالث Question Three * Q3. For the motion vector r(t) = et cost i + et sint j , find: (i) N…

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Q: What did you write for the wave equation at the beginning? is that the same as Schrodinger's Eq.?

A: We will clarify the confusion between wave equation and Schrodinger's Eq

Q: The amplitude of the graph is The period of the graph is

A: 1.  Amplitude of the  sine wave will be the graphical distance bw centre of the graph and top or…

Q: Show if the function is a wave function or not.

A: A wave function is  a function which satisfies the differential equation ω2∂2f∂x2=k2∂2f∂t2 for non…

Q: 9. Given the parametric equations x = et and y = te-t, vt. dy (a) Find dx (b) Find dx2 d?y (c) For…

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Q: Fix c > 0. Show that for any constants a, ß, the function u(1, x) = sin(æct + B) sin(æx) satisfies…

A: We have the function u(t,x)=sin(αct+β)sin(αx) . We have to show that this function satisfies the…

Q: Under suitable assumptions derive one dimensional wave equation.

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Q: Q.4 Solve the wave equation: +t+1-: U₁=U₁+1+1 Uxx X T T U (0,t) = X U(x,0)=, U₁(x,0) = - T 2 U(n,t)…

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Q: 2sinh cosh -dx 3cosh? * 2

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Q: У(х, t) —D Аехр(i(k'x3-о33-3kaxt (kx-ot)-iф))

A: A wave function is a function which satisfies wave equation ω2∂2f∂x2=k2∂2f∂t2. This equation has…

Q: 6. Simplified equations for an electric motor can be given O"(t) + 20'(t) = u(t) where e(t) is the…

A: Given equation for an electric motor is θ''t+2θ't=ut

Q: 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.…

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Q: Obtain the solution of the wave equation u 12 under the following conditions (i) u(0, t) = u(2, t) =…

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Q: Eliminate the parameter t to rewrite the parametric equations as a Cartesian equation Į x(1) = (t –…

A: Given equations x(t)=(t-1)2 y(t)=e3t To convert given equations into cartesian equation we need to…

Q: The wave equation describes the motion of a waveform: 8u/ôt? – ²u/ðx² = 0. - Which of the following…

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Q: d²y Consider the IVP dx? dy 6y = -3x, y(0) = 1, y'(0) = 2. dx a) Convert the given IVP to a…

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Q: B-Solve the wave equation subject to the initial conditions (a) u(x, 0) = sinx (all x) (b) (x, 0) =…

A: consider the provided question, the wave equation, ∂2u∂x2=1c2∂2u∂t2 Subject to the initial…

Q: A motion has R++) = (3.8m (347) 2² + (3 cos (3+));²³² + 3 +K A at time + -4 is. A vector dan gend to…

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Q: Q.5 Solve the wave equation: U₁=Uxx-ex-6x, U(0,1)=8, Ux(1,1)=3, U(x,0)=4sin ³x+ex+x³-ex+7 **********

A: Using separation of variables

Q: 4) WHICH OF THE FOLLOWING FUNCTIONS a2 if 1 a2 if v2 at2 PROVIDES THE WAVE EQUATION ? WHY, EXPLAIN…

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