f(d) = e-2d d4

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: f(t) = 3e " cosh (In 21)

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Q: Find the laplace transform of (b) L-- [tan-" )]

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Q: determine the laplace transform of t^2 sin 4t

A: We know that Lsin(at) = as2+a2 then Lsin(4t) = 4s2+42= 4s2+16 Also  Ltnf(t) = (-1)ndndsnLf(t)

Q: Solve using the Laplace transform y' - y = et , y(0) = 2

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Q: Find the Laplace Transform 3.f(t)=e'cos2t

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

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Q: L[t e-t sin 3t dt ]

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Q: Solve for the Laplace transform of f(t) = 5 using long method. %3D

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Q: Use the laplace transform to solve 3x'-y=2r;x'+y'-y=0; x(0)=y(0)=0

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Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting…

Q: 3t x(t) = to

A: We have to apply the Laplace transform of the given function.

Q: Question included in image

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Q: 5. Find the inverse Laplace transform of the function as +b H(s) = (s – a)² + B²' -

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Q: Solve using the Laplace transform y' - y = e3t , y(0) = 2

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Q: 35-1 F(s) -

A: The given function isF(s)=3s-1s2+25

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

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Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

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

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

Q: Find the inverse Laplace transform of Y (s) = + 1(1 - e-**).

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Q: determine the inverse Laplace transform of F.

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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: Use the laplace transform to solve 3r'-y=21;x'+y'-y=0; x(0)=y(0)=0

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Q: Solve the Laplace transform of (1+e-t)2

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Q: What is the Laplace transform of the function f(t)=(2t−1)³?

A: We have to find the Laplace transform of the function f(t)=(2t−1)3.

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.  1. (et - e-t)2 2. sin2t sin5t 3. e2tcos2t

A: The objective is to compute the Laplace transform of 1. et-e-t22. sin 2t sin 5t3. e2tcos2t

Q: y Ct) = 5€ - 2t Cos 6t

A: Use the following 1.L{cos at}=ss2+a22.If L{f(t)}=F(s)Then L{eatf(t)}=F(s-a)

Q: Solve for the Laplace Transform of f(t) = t²sin 2t

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Q: Find the Laplace Transform of (t2 +4t + 2)et

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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: What is the laplace transform of f(t) = e5tsint?

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Q: Find the Laplace Transform of: e-2t sin2t + e3tt2 3t +2

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Q: Find the Laplace transform of sin 21, 0<t < 2n S(): 0, 12 2n

A: we have given the function f(t) = sin2t,  0≤t≤2π   0,          t≥2π we have to find the Laplace…

Q: f(t) = 2Ct -4)

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Q: f (t) = cos2

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Q: Solve the Laplace transform of e-2t cos/3t – t²e-2t

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Q: Calculate the Laplace transform of f(t) = 2 cos(3t)

A: The given function is ft=2 cos3t.

Q: Find the Laplace transform of L{t^2cost}

A: Laplace transform of the form L(tkf(t))=(-1)kdkdskLf(t) Here, k=2, f(t)=cost From the identity,…

Q: f(t) = 5te-²t cos(3t)

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

Q: Find the Laplace transform of e-2t(sinh(2t))2.

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Q: f Ct) 2 (3t-5)? e e 4t

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Q: Solve the Laplace Transform 8. f(x) = (2/x)(cos1/2x)

A: note : We will consider the given function as : f(x) = (2/x) cos(0.5x)   Now we have to find the…

Q: Determine the Laplace transform: e2t sin (wt + 6.

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Q: Solve for the laplace transform using the formula. 9. F(t) = e-2t-

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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: b) f(t) = t*e3t

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