2 y(t) = 5e-5t 3 -4t

Q: Find the Laplace transform of the following: 1. y" + 2y' + 5y = t cos(5t) - 6, y(0) = 1, y'(0) = -2

A: To find the Laplace transform of the problem.

Q: Find the inverse Laplace transform of: 2 s² + 4

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Q: Find the Laplace transform of t6e-2t.

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Q: Find the Laplace transform of: f (t) = t3 – 8t2 + 1 -

A: Topic  = Laplace transform

Q: Find x(t) and Y(t) using Laplace transform.

A: The given pair of equations dxdt=2x-3ydydt=y-2xx0=8, y0=3

Q: Find the Laplace transform of h (t) = 1.5 sin(3t – ) 2

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Q: find the laplace transform of 2t³e³t

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Q: Find the laplace transform of f(t) = 2t¹-3e³t+10 cos 2t

A: Given that,  f(t)=2t4-3e3t+10 cos2t

Q: y(t) = 5e2t cos(3t) + te-3t %3D

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Q: (1) = -e* sin (21 +n)

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Q: f(t) = 2t + 5et – sin 5t -

A: Given:  ft=2t3+5e4t-sin 5t To Find: The Laplace transform

Q: Find the laplace transform of f(t)=2t^2 e^-t - sin^2 t

A: We have to find the Laplace transform of f(t)=2t2e-t-sin2t .

Q: What is the Laplace Transform of e^t?.

A: To find the Laplace Transform of et  L(et)   By definition, L(f(t)) = ∫0∞ e-st  f(t)  dt

Q: O fe) = e* cos 2t -t * + Gn 状 - as )

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Q: The Laplace transform of f (t) = e2t sin(7t) + te-3t is:

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Q: Evaluate equation y’ – 3y' – 4y = e³x using the Laplace transform, with initial conditions y(0) = -5…

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Q: Solve the equation y" – 3y'+ 2y = e", y(1) = 0, y'(1) = 0 by the Laplace transform method. Hint: Let…

A: Given equation

Q: Determine the Laplace transform of the equation f (x) = 2e-"sin4t 16 A s2+ 4s + 20 20 B s2+ 4s + 20…

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Q: Solve the Laplace Transform of the equation f(t)= te²ᵗsint

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Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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Q: Find the Laplace transform of (t2 + 1)2.

A: we use the formula £(t^n)=n!/Sn+1. See 2nd step.

Q: 2. x(t) = e5t + cos 3t %3D

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Q: Find the Laplace transform of the following: 3. y"-y-6y= t²e³t-4t2, y(0) = 0, y'(0) = = -1

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Q: Find the Laplace transform of u2(t)cos(t − 2)

A: This is laplace transform shift problem

Q: The Laplace transform of f (t) = e-3t cos(2t) + 2te3t is:

A: In the given question we have to prove that  f(t)=e-3tcos(2t)+2te3t formula used: In the solution of…

Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³ (6t)

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Q: Find the laplace transform for the equation f(x) = 2 e^-2t sin4t

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Q: Find the laplace transform of H(t) when H(t) = (e^2t-3)(e^2-t)

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Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t) %3|

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: FIND THE LAPLACE TRANSFORM AND INVERSE LAPLACE TRANSFORM dx - + 7 = 5 cos 2t dy -

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Q: find the laplace transform of the 1VP: y"'-4y=" e^3+t, y=0=y'(0)=y"(0)=0

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Q: 2. Find the Laplace Transform of b. f(t) = 4t²e-2t sin2t

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Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos (6t)

A: Laplace transform is the integral transform of the given derivative function with real variable t to…

Q: y(t) = 5e2 cos(3t) + te-3t %3D

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Q: f (t) = 3e " cosh (In 2r)

A: This is a problem of Laplace Transform.

Q: Find the Laplace transform of e2t sin 5t.

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Q: Find the Laplace transform of f(t) = (1+ sin 2t cos 2t). %3|

A: Given: f(t)=(1+sin 2t cos 2t)

Q: 3. f (t) e2t Cos 5t 3t3

A: The Laplace transformation formulas are Leatcosbt=s-as-a2+b2,  Ltn=n!sn+1. Substitute a=2, b=5 in…

Q: Find the Laplace transform; y''+y'+3y=e^-3t y'(0)=y(0)=0

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Q: Find the Laplace transform of the equation. a and b are constant.

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Q: Use the Laplace transform to solve the given problem: 3-5y = 0 dx

A: From table of Laplace table,

Q: Find the Laplace transform of f(t) = 31° - 8 cos 4t + e-24.

A: We will use the Laplace transform formulae to find the Laplace transform of the function f(t)

Q: Obtain the Laplace transform of t2 + 4t - 5.

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Q: Find the Laplace transform of + 2 cos(t) – 5t3/2 a) f(t) = 3e-2t

A: L(f(t))=L(3e-2t+2cost-5t32)L(f(t)) =L(3e-2t) + L(2cost) +L(-5t32) L(f(t))=3L(e-2t )+2L(cost)-5L(t32)…

Q: Find the Laplace Transform of: 3t2 – e2t

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Q: Find the Laplace transform of t + 2t -4

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Q: Find the Laplace transform of the function f(t) = (1+e2")² –- 1

A: Simplify the function.

Q: Solve the initial value problem by using Laplace transform, y" – 3y' + 2y = 4t-8 y(0) = 2, y'(0) = 7

A: Given initial value problem is: y''-3y'+2y=4t-8,  with y0=2, y'0=7. In Laplace transform method…

Q: Find the Laplace transform of f (t) = 6e-t +e + 5t -9

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Q: 3. f (t) e2t cos 5t – 3t3 -

A: Note:- 1.   Ltn  =n!sn+1 2.  Lec t cosdt  = s-cs-c2 +d2   Given function is ft = e2t cos5t -3t3