Use laplace transformation to solve the following differential euqations. Show all the steps (including partial fraction  or complering square ) when finding inverse laplace transformation. Do not use computer to slove this . How all the steps. refer to the number in the laplace table that you are using . y''+y=&(t-2pi) y(0)=0 and y'(0)=0

Q: c. Find r' (t) and graph r' (t) on the same graph as r(t). Distinguish each by using different…

A: Please see the below picture for detailed solution.

Q: ∆ABC is mapped onto ∆A'B'C' which is then mapped onto ∆A"B"C". ∆ABC and ∆A"B"C" are shown in the…

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Q: (2s-8.4) find the inverse transform of s2+0.4s–0.21 -

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Q: 582 28s - 26 (s+2) (S-2) (5-2)

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Q: i). ƒ (1) = (5– 312) ² i). ƒ (1) =r2sinh (21) Find the Laplace transforms of the following…

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Q: to find the z-transforms of following: {ak-3} (3k-4)

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Q: Dear tutor, please help me in  inverse laplace transformation using only this table- formula  below,…

A: e) Given to find L-15s-42s2-3 Formulas using here L-1ss2-w2=coshwtL-1ws2-w2=sinhwt

Q: What transformations are needed to transform y= sinx into y=sin Select one: a. None of these b.…

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Q: 11. The line 8x - y - 8 = 0 is tangent to the graph of ƒ (x) = (x + k)(x² − 1) at the point (1, 0).…

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Q: 2. Find the inverse transform of 2s² +5s-6 $³3s2-13s +15

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Q: Use the convolution theorem to find the inverse Laplace transform of the given function. Laplace…

A: We will find out the required value.

Q: i). ƒ (t) = ²) ² ii). ƒ (t) =t²sinh (21) (5–31

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Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 5…

A: Here we have to find out f(t) using inverse Laplace transform.

Q: Rectangle PQRS is reflected across the x-axis. The image is P'Q'R'S'.Which two further…

A: Given Rectangle PQRS is reflected across x axis then image is P'Q'R'S'

Q: Determine the magnitude and direction of the largest change 2 2 (x² + y²)z at the point M (1, -2,1).…

A: Introduction How sharply a curve rises determines its magnitude. It is simplest just examine the…

Q: Find sine transform of e-[165]t/t

A: The Fourier sine transform is defined as                                  Fsfx = Fss = ∫0∞fx sinsx…

Q: Considering the following graph of the given function f. y The xy-coordinate plane is given. The…

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Q: 1. Find the equation of a line perpendicular to y = 1 through A(-1, 1).

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Q: Determine L '{F}. 4s +3 SF(s) – 5F(s) = 2 s+ 10s + 25

A: If f(t) is defined for all positive values of t and if ∫0∞e-st f(t) dt=Fs, then  Lft=∫0∞e-st f(t)…

Q: Determine the inverse transforms of the following. 2s 6 (a) (c) (S-2) (S-4) (b) 5s-8 s(s - 4) $²25…

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Q: Evaluate the following question. Show your work.  1. The function y = x^3 has undergone the…

A: To find the coordinates of the transformed points on the curve y = x^3, we need to consider the…

Q: Assume that ƒ′(3) = -1, g′(2) = 5, g(2) = 3, and y = ƒ(g(x)). What is y′ at x = 2?

A: Given:

Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

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Q: Find all second order derivatives for z = 7ye5x Zxx Zyy = Zxy=Zyx = |

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Q: writing the given quadratic s^2 +6s + 10 in the form (s+a)^2 + B^2 (that is to complete the square).…

A: The objective is to find the inverse laplace transform of s+1s2+6s+10 First write the denominator as…