1Byusing the Jacobian Jeber minant transform dx dy to drdo

Q: Use Laplace transform technique to solve y +2y +2y=e¯, y(0) = - 3, y'(0) = 2

A: Given: y''+2y'+2y=e-t and y(0)=-3 ,y'(0)=2 Apply Laplace transform on both sides…

Q: Find the inverse laplace transform of the problem L-[- u+1 (u+1)²+1! L[f(u}] = F(t)

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Q: y''-4y=et , y(0) = 0 , y'(0)= 1 Laplace transform

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Q: b) Using Laplace transform, solve the system UTM UTM dr dt -y = 1, UTMUTM dt dy given that r(0) =-1…

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Q: a) Solve the initial value problem using Laplace transform IMUTM UTM UTM IM UTM TM UTML

A: First we take Laplace transform of given differential equation and solve.Then solve for inverse…

Q: Use Laplace transform to solve: du ди -x = 0; u(x,0) = e*, u(0,t) = 0. at %3D %3D ax

A: Solution

Q: d 3x 3 ) y = = e dx

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Q: Use Laplace transform technique to solve y+2y+2y = et, y(0) = - 3, y'(0) = 2

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Q: 3. Use Laplace transform to solve the IVP y" + 9y = e', y(0) = 0, y'(0) = 0. %3D %3D

A: Laplace transferom, solve the intial value problem

Q: Use a Fourier transform to solve the following initial value problem for the free Schrödinger…

A: Given: Let us consider the given ut=iuxx ; ux,0=e-x2

Q: xy3dx+(y+1)e-xdy=0

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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: Solve the initial value problem using Laplace Transform: a. y" – 2y' + 5y = -8e-t, y(0) = 2, y'(0) =…

A: We have apply Laplace transform to solve the given problem.

Q: -니 dy dt

A: First take laplace transform and then satisfied condition and then take inverse laplace transform

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: Solve using the Laplace transform method: d²y - 2+ y = 5e' and y(0) = 1, y'(0) = 1 dy %3D %3D dt2 dt

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Q: solve for Y(s), the Laplace transform of the solution y(t): y'' +6y'+5y=te^t  where y(0)=2 and…

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Q: Use the laplace transform of the initial-value problem; a) y'''+2y''-y'-2y=sin3t, y(0)=0,…

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Q: 2. Use Laplace transform to solve with y(0) = 1 and y'(0) = 0. y" + 2y' + 2y = 8(t = π)

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Q: Find the Laplace Transform of (i) e3(2cos 5t - 3sin 5t) (ii) e2tcos² t 4t (iii) e**sin 2t cos t

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Q: Use Laplace transform technique to solve, y"+2y'+2y = e given y(0) = -2 and y'(0) = -1

A: According to our guides, we are allowed to answer the first question only. Kindly re post the second…

Q: Find the Laplace transform for the IVP: y'' + y = A8(t – 5), y(0) = 1, y'(0) = 0 Y(s) =

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Q: Use Laplace transform technique to solve y" +2y +2y= e-, v(0) = – 3, y'(0) = 2

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Q: 1 G(s) = (s + 10)(s + 1) - Find the Z-transform of the system

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (Laplace transform method) حل نماید . 3 X = u(x)= - S (x - 1)u(t)dt 6 0

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Q: Use Laplace transform technique to solve y+2y+2y=e, y(0) = 3, y (0)=-3

A: We need to use Laplace transform to solve this differential equation.

Q: y''-4y=et , y(0) = 0 , y'(0)= 0 Laplace transform

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

A: Laplace transform

Q: Use the Laplace transform to solve the initial value problem y" + 4y' + 3y = 0 y(0) = 2, y'(0) = –1…

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

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Q: Using Laplace transform method, solve the below initial value y" +25y = 10cos5t, y(0) = 2, y'(0) = 0…

A: To solve the differential equation using the Laplace transform

Q: Take the Laplace Transform of the IVP (dy/dt) - y = 2cos(kt), y(0)=−9

A: Since in a given IVP it is mention that ''take the Laplace Transform'', therefore, we take only the…

Q: Solve the Laplace transform of the following: -3t. ii) y" + 4y" = -6y' + y – tet; y(0) = 0 and y'(0)…

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Q: (3) y(t) = 2e+

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Q: Use Laplace transform technique to solve y + y"+2y +2y e, y(0) = - 3, y (0) = 2 %3D

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Q: 4. Calculate Fourier transform : for a >0 r(t) = e-a'u(1)

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Q: Solve the shifted data IVP by the Laplace transform method showing your work in details. y"-xy'-y=0…

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Q: a) Sojlve the initial vajlue problem using Laplace transform UTM y + 2y = 26 sin 3t, y(0) = 3. UTM…

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Q: Use laplace transform to find the initial value problem; a) y''+2y=alpha(t-1),y(0)=0,y'(0)=1

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Q: +5y-6y 21e, y(0) =-1, y' (0) =

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Q: By using Laplace transform to solve y + y = cosht y (0) = 0, what would the particular solution be?…

A: the given equation is y'+y=cosh t  y(0)=0 taking Laplace of the given transform Ly'+y=Lcosh t…

Q: Use Laplace transform to solve the ivp: dy/dt = -y +u1(t)(t-1); y(0) =2

A: Use Laplace transform to solve the ivp: dy/dt = -y +u1(t)(t-1); y(0) =2

Q: The first: find using transform i x =rcos(0), y=rsin(0) 00 00 e-(7x²+3y) dxdy

A: We have to use the given substitution.

Q: 4. f(t) = (1 + te-t)* %3D

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Q: Use Laplace transform technique to solve y+2y +2y=et, y(0) = - 3, y'(0) = - 3

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Q: Take the Laplace Transform of both sides of the IVP y'' + y = 2δ(t-1) w/ y(0) = 1, y'(0) = 1 and…

A: Step:-1 Note:- Some Laplace Transform 1. Lδt-a = e-as   for a>0 2. Lyt=ys  and  L-1ys=yt 3.…