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: Euler method to compute ys for the DE 2xy'=y for y(1)=1

A: Euler's Method

Q: Solve the following initial value problem with Laplace transformation: 2y" – 12y' + 30y = 4 cos(5t),…

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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: y" + 2y' + 5y = 10e¬2", y(0) = 0, y'(0) = 0.

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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: plve the following DE using a suitable type of transformation. ý = x + y (let v = x + y)

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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: y"-8y'-9y=0, y(0)=0,y'(0)=-22. d^2y/dx^2 = y", solve using Laplace Transformation

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Q: Solve the equation below using A. Laplace Transformation B. Undetermined Coefficient OR Variation…

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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: (a) Let z = 3x³y - 2xy, z = 2t - 1, y = 1². Computed using the chain rule and by substitution and…

A: To find the derivative using chain rule.

Q: By using Laplace transformation solve y-10y + 9y = 5t y(0) = -1 y(0) = 2 %3D

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Q: Q: Solve the following set of simultaneous equations using Laplace Transfor d²y 4² - x = y; + dt²…

A: This is the question of Laplace Transform.

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: (4) Let f(x, y) = e-y. Find the linearization of f at an appropriate point and use it to…

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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: Q2/a. Solve the following initial value problems (Using Laplace-Transformation) y" - 2y' + 2y = 0…

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Q: ne equation dy A(x)y? + B(x)y + C(x) dx %3D called Riccati's equation. ose that y=u(x) is special…

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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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