Solve by Laplace transform Utt – 9urz = 0, 0 0 %3D u(0, t) = u(r, t) = 0, %| %3D u (x, 0) = 0, u(x,0) = 2 sin x.

Q: Q"+4Q'+4Q=2t Solve with Laplace transform

A: Using laplace transform to solve the problem.

Q: 31²+1 dt = Compute:

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: y' + z' - 2y = 1 z – y' = t %3D Yo = 20 = 1 %3D -

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Q: (x' = x- 2y V = 5x – yi x(0) = -1, y(0) = 2. %3D %3D %3D %3D

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Q: 7. Evaluate y" + y' = t; y(0) = 1 , y'(0) = -2

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Q: [(x²-y²)²] x+y -2 LEK 1J0 du dt

A: We have to find value of given double Integral.

Q: Use Laplace transforms to solve the IVP y''-y=0, y(0)=2, y'(0)=3. Show the complete solution.

A: Given initial value problem is, y''-y=0, y(0)=2, y'(0)=3

Q: Find the Laplace transform of f(t) = te *sin(2t). 4s + a Then you obtain F(s) = Please type in a =…

A: Given that ft=te−tsin2t We have to Laplace transform of ft=te−tsin2t that we have to find Lte−tsin2t…

Q: Use the Laplace transform to solve the given initial-value problem. y"+ 2y"-y'- 2y = sin(4t), y(0) =…

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Q: Solve by Laplace transform method x' = 2x – 2y у'3 х — у — cos t x(0) =,y(0) = 3 4

A: Solution: The system is x'=2x-2y y'=x-y-cost x0=35,  y0=45

Q: Use Laplace transform technique to solve y +2y +2y= e-, y(0) = - 4, y'(0) = - 2

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Q: y" + y' = t; y(0) = 1 , y'(0) = -2

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Q: Find the inverse Laplace Transform for Cari Songsangan Tranformasi Laplace untuk 1+(s-2)2 F(s) =5-2)…

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Q: Use Laplace transform technique to solve , y"-y'-6y= 0, Given y(0) = 1 and y'(0) = -1

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Q: What is the value A 4B for Y(a)= which is Laplace transform of the solution of initial value 16…

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Q: Integrate the function. S dt o. O. V6-R+ sin'1 6t + C 6t o. + C 612 o. 6t 16-12

A: We can find the integral as below.

Q: 2. The inverse Laplace Transform of the function F(s) = 4s+2 / s²+2s+5 is : (a) e* cos 2t + 2e* sin…

A: Given function is Fs=4s+2s2+2s+5

Q: solve: y" - Hý + 4y = 4szt; y(0)=2₁ y(a)=5 using Laplace transform

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Q: Solve the shifted data IVP by the Laplace transform method showing your work in details.…

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Q: Determine the Laplace transform of y’’ given y (0) = 4 and y’(0) = 2

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Q: Compute N(0) if r(t)= and prove that T(0) and N(0) are orthogonal

A: Given rt=<t sin t+cos t,2t2,sin t -t cos y> Then vector is given by r→t=t sin t+cos…

Q: 1.X" to qx' +5x, = 5ot x'l6) :: -5 , x6) - 5

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Q: dy cosx+ ysin x =1 dx

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Q: y"+2"-z' = 0 y' + z 221-ex - Yo = 0, y = 1 20= 1, 2 = 1

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Q: (22) Soluc following initial value problems. explicit solution. the If possible writo сп b) ₁2 dy =…

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Q: ) 3x - 4x= sin社 ; at t=0,x==

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Q: Use the Fourier transform method to solve du k at ax2-Yu, -o∞ 0 u(x, 0) = f(x).

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Q: W = x =t' +7, y=cos(2t), z=4t COS

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Q: Find the Laplace transform F(s) = L(f(t)) given f(t) = 0, t 6 F(s) = 120e^(-2s)/(s^6)

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Q: y"" + 3y" +3y' + y = 0, y(0) = 7, y'(0) =-7, y"(0) = 11

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Q: Solve for the general and particular solution using Laplace Transform y" +y = sqrt (2) (cos sqrt…

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Q: y"+y' = 0; y(0) = 0, y '(0) = 1 cost + sint t + cost + sint A) 1- e-t t-e-t O

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Q: Use Laplace Transform to solue y' +zy y=4et %3D given ylo)"= 2 and y'lo). y'66)=-1 %3D

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Q: Solve using Laplace transform "+2y+5y=sin(3r), y(0)=1, y'(0) = -1

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Q: au at Apply Fourier Transform to solve the boundary value problem 3 dx following conditions: (i)…

A: As per the question we are given an boundary value problem (wave equation) with appropriate initial…

Q: у" + 2y'— Зу%3D бе 3t У (0) — 0, у' (0) - 0 %3D

A: Here we use simple Laplace transform to solve this