Take the Laplace Transformation of the following initial valued problem and then solve for Y(s): 1) y' + 5y +6y= 12et, y(0) = −1, y'(0) = 7

Q: Use Laplace transformation to solve the following differential equations: y" + 4y = = sint + u, (t)…

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y''…

A: Given that the initial value problem y''-7y'+12y=6te3t  , y0=2 , y'0=-6  .

Q: 2²u at² ·x 20u = 0, əx² -∞0 0 the equation subject to the initial and boundary conditions: u(x,0) =…

A: Solution:- Given equation is homogeneous wave equation for infinite string

Q: Based on the line graph shown, how did Google's stock price perform between September 2015 and…

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Q: Use laplace transformation to solve the following differential euqations. Show all the steps…

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'' -…

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Q: solve given equation with Laplace transformation  y'' + 2*y' + 2*y = e-t y(0) = 2; y'(0) = 1;

A: First we will take Laplace transform and then inverse Laplace transform.

Q: Solve using Laplace Transfrom Method: y'''+3y''+3y'=y       y(0)=7,   y'(0)=-7,    y''(0)=11

A: Given function is, y'''+3y''+3y'=y    y(0)=7,   y'(0)=-7,    y''(0)=11 Now, using the…

Q: Solve the initial-value problem y' - 2y = e3i, y(0) = 3

A: Given DE is y'-2y=e5t and y(0)=3Solve it by using laplace transform

Q: useLaplace and Inverse Laplace Transformation to solve for the boundary-value problem y''-4y=t,…

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Q: find the solution of following differential equation using Laplace transformation. y" + 3y + 2y = ex…

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Q: Use Laplace Transformation to solve the differential equation y-2Ky +Ky=2e*(K+cosKx) (0) =1 and…

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Q: 4. Use Laplace Transforms to find the solution to the initial value problem y' - 3y = u₁(t) ((t-1) +…

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Q: Normalize the state: 14 > = (1 -2i) 1 0 > - 2i 11 >

A: This question asks us to normalize the given state which is a linear combination of the basis…

Q: solve the initial value problem using laplace transformation. y''(t)+2y'(t)+5y(t)=e-tsin(t)…

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Q: 4. Solve the following DE using a suitable type of transformation. y' = x + y (let v = x + y) O y =…

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Q: Take Laplace Transformation on the Ordinary Differential Equation if y"- 3y" + 3y'-y te if y(0) = 1,…

A: NOTE: In the given initial conditions, y0=1 is incorrect. We have to use the condition y0=a. We have…

Q: Linearize the following differential equation about point, x= T/3. d²x +2 dt? dx + sin x=0 dt

A: Answer:

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'' -…

A: We are given the equation      y’’ - 9y’ + 18y = 2te3t   . . . . . . . . . . (1)  The initial…

Q: Use laplace transformation to solve the following differential euqations. Show all the steps…

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Q: y''+4y=u(t)(t-2) , y(0)=y'(0)=0 find the initial value problem with laplace transformation.

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Q: By using the Laplace transformation, solve the equation y"-3y-28y+3e-3t, y(0)=0 and y'(0)=1

A: Given - The equation y'' - 3y - 28y + 3e-3t = 0 , y0 = 0 , y'0 = 1 To find - By using the Laplace…

Q: I. Find y', y" and y"" of the following functions. a. y = 2x-x'+ 5 b. y = (r²+2) x-1 II. Use the…

A: I. (a).y=2x4-x3+5diff w.r.t xdydx=2(4x3)-3x2+0y'=8x3-3x2diff w.r.t x…

Q: Solve the De as follows via Laplace transformations: 18y''' + 27y'' + 8y' + 12y = 0; y(0) = 19/12,…

A: The solution is given as

Q: Solve the initial-value problem y" + 4y" + 5y' + 2y = 10 cos t, y(0) 0, y'(0) = 0, y"(0) = 3.

A: SOLUTION-

Q: Use laplace transformation to solve the following differential euqations. Show all the steps…

A: Some of the properties of Laplace transformation…

Q: find y1(t) and y2(t) by laplace transformation 2y'1+y1-y2=90e-t/4 y'2-y'1+2y2=0 y1(0)=0 y2(0)=2

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Q: Solve for the laplace transformation of y" - 6y' + 9y = t ; y(0) =0, y'(0) = 1

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Q: e-", if 0 3,

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