1. y" + 5y' +6y= 2e-t, y(0) = -1, y'(0) = 1

Q: Describe in your own words the method you would use to find the Laplace transform of the first…

A: The Laplace transform of function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). We can…

Q: 2- 1 2

A:

Q: 4. Find L'{ -}. Give table number. 3-5S

A: We have to find L-123-5swe are going to use the formulaL-11s-a=eat ——(*)

Q: Show that the Fourier transform of f (x)= e*/2 is e

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Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: 글 sin (26) + 좋cos (3t) CoS

A:

Q: Find the Fourier transformation of the f(x) function given by the graph -T ㅠ ㅠ 14 π

A: The Fourier transform of a function f is given by

Q: From Leibnitz theorem °C=

A:

Q: Find Fourier transform for f (t-2)

A: We have to solve given problem:

Q: Find QR decomposition

A: Consider the provided matrix A,

Q: 3. State and explain the Convolution Theorem for Laplace transform

A: To prove: State and explain the convolution theorem for Laplace transform.

Q: +23

A:

Q: t3 - 3t2 + 5t – 8

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Q: -2x jika x > 0 jika x <0 f(x) =

A:

Q: In a equation, f(x) = 3 sin 3x - 2e-2x Calculate the Laplace transform

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Q: 7) f(x)= xe-x 0 if -1<x<0 otherwise

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx  We are given fx=xe-xif…

Q: Find inverse Laplace by residue theory 2. XeS+(て-2x。) s- 25+5

A: Find the Laplace inverse transform by residue theory L-1x0s+x1-2x0s2-2s+5

Q: Find the inverse Laplace transform of each function: -4s a) F(s) = -5/2.

A: We find out the Laplace inverse transform .

Q: Find the orthogonal trajection of the family of y=ax

A: In mathematics an orthogonal trajectory is a curve, which intersects any curve of a given pencil of…

Q: -3iw sin 5w 20e F(@) = %3D 3

A:

Q: 3. Mean of the natural log transformation 4. Mean of the square root transformation

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: f(x) = 0 if -1<x otherwi

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx We are given fx=|x|if…

Q: Find the Fourier transform $\tilde{f}(p)$ of the function 4x²e-5¹ for x ≥ 0 for x < 0. f(x) = {…

A: fx=4x2e-5xfor x≥00for x&lt;0

Q: Write the general equations for the following: a. Laplace Transform b. Fourier Transform

A: The Laplace and Fourier transformation are two important integral transformations with kernel one.…

Q: Use Python to find the Laplace transform of e²t + 4t³

A: To write t^3 in Python, you can use the `**` operator for exponentiation.

Q: L-1(1/(s4+4))

A: L-1s+1s+12+1=e-tcost L-11s+12+1=e-tsint L-1s-1s-12+1=etcost L-11s-12+1=etsint

Q: Explain Drac Delta functoo

A: Given The given function is 'Dirac delta function'.

Q: Compute the Fourier transform of the Heaviside function

A:

Q: Determine the graph and the Fourier coefficients of the following function: that describe the…

A: Determine the Fourier coefficient of f  f(x)= 0 , -π&lt;=x&lt;=0 .

Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be-³x + ce-²x)² if x > 0 if a = 4,…

A: