· y"(t)+5y'(t)+4y(t) = 0, y(0) = 1, y'(0) = 0

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

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Q: A new graduate puts $1000 per year into a retirement plan mutual fund (at the beginning of each…

A: The sequence is…

Q: Prove that for a constant function f(t)= C, the Laplace transform can be given as. F(s)= Z C= S

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Q: Find the inverse Laplace transform of the function as + b H(s) = (s – a)2 + 32 °

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Q: Substitute the given values into the formula and solve for the unknown variable. A =5(b+ B)h; A =…

A: The variable for which any value is not assigned is called the unknown variable.  Here, h is the…

Q: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

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Q: Exercise II Use the method Laplace transform to solve the following. (a) = 1₂-1₁ +1₁ 2²₂2 = 1₂.

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Q: b) Find the inverse Laplace transform of the following function: 3s +6 F(s) = s² +9s + 5.

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Q: Part II. Find the Inverse Laplace Transform of the following: 10 2. F (s) s2 +4s+4

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Q: f(d) = e-2d d4

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Q: 6. Find the inverse Laplace transform of the function (3²-²)(as + b) I(s) = (s² + a²) (s² + 3²)

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Q: F(s) = 172S-156 s3-1.2s²-11.8s+2.4

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Q: s2-2s -n: (s-+4)(s-+4s+5)

A: Given: s2-2ss2+4s2+4s+5

Q: 8. Express the given function using unit step functions and compute its Laplace transform y sin t N…

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Q: F(s) = 8 $³-3s²-4s 00

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Q: 10(2s+5) 6. Find the inverse Laplace transform of I(s) and find s2+3s+2 I(s) when s= 0.1 sec.

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Q: Q3 Find Laplace transform of the function f(1) =t sin(@t)

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Q: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

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Q: I have not yet been taught Laplace Transform by my lecturer, I believe. Isn't there another way…

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Q: Write down the qualitative form of the inverse Laplace transform of the followir functions. For each…

A: The given equation of  Laplace transformation is: Poles are the zeros of the denominator the…

Q: 8 Find the inverse Laplace transform of F (s) = f (t) = 8"H(t) (Write eab as exp(a*b)). %3| ||

A: We have to find laplace inverse of F(s)

Q: 5. Find the Laplace transform of the function: f(t) = 6e-5t + e³t + 51³-9 Simplify your answer to a…

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Q: F(s) = 1 (s + 1)²(s² + 4)

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Q: 1 ·5² 6² (+2²³ +²² dx dy. (1 0 0 3. Compute

A: 3. Given that the double integral is                          ∫0∞∫0∞1(1+x2+y2)2dxdy.

Q: B- Find Inverse Laplace transform of the following functions F(s)= 2s-7 (s+ 6)(s² + 4) G(s) = s(s² +…

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Q: Find the Inverse Laplace Transform e-3"(2s + 7) L-1 s2 + 16

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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: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: Ose the definition to find the Laplace Transform of the given function [t, 0St<1 f(t)=} |1, t21

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Q: Find the convolution of f(t) = 3t and g(t) = sin (21). You can either calculate f * g directly, or…

A: In the given problem we have to find the convolution of two function f(t) and g(t) using the…

Q: a) f(t) = 2tOREM (0) c) f(t) = sint e) f(t) == {1 t, 1<t<∞

A: (.) Given function is,                   (.) Laplace transform:  Let  be a function of  defined for…