3. Find the transformation fourier function from the following exponential function: fk) = e " jika x>0. a>0. 0 jika x<0

Q: Find the fixed point iteration of the function y=sinx

A: We shall use fixed point iteration to solve this problem.To do this, we have to solve the equation…

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: Express the equation in Heaviside Function

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Q: y" +6y' + 4y = 10e ; y(0) = 0, y'(0) = -2 Answer: y = et -e-t +e-* 3

A: We are given the differential equation : y''+6y'+4y=10et Taking Laplace transform both sides, we…

Q: si |x| < a 1. f(x) = [1 0 en otro caso ||

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Q: 13.3.9 Evaluate -x)-Pdx a beta function. as

A: Use the property of beta function to evaluate this integral.

Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: Find the Fourier Cosine Transform of the function -mx f(x) = (ae-m +be¯¹x}³_if_x>0 if a = 5, b = 4,…

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Q: g(t) = 4e13 (t+1) cos (6π fot)

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Q: 3. Use definition (not tables) of L{f(t)}= [ e"f (t)dt to find L{1*e" } . Assume s>9

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Q: What is the Inverse Fourier transform of: F(w)=, (w+6) Your answer should be expressed as a function…

A: To find inverse Fourier transform of Fw=-46+iw3 , we can use some standard Fourier transform…

Q: sinh ot + cos ot

A:

Q: 1. Calculate Fourier transform of the following functions (1) f₁(t) = (1; -1≤t≤1 (0; otherwise…

A: Definition of Fourier transform of a function f : f^ξ=∫ℝfte-2πjξtdt . We will use this definition to…

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

A:

Q: 'dk= (b-o) Bip+l, 9+1)

A: We have to solve given problem:

Q: Find the derivative, if y = (log x)" +(sin x)™* -x %3D

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Q: 4. Solve the initial value problem: y" + 3y' – 10y = 0, y(0) = 1, y'(0) = 0 -

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Q: Find the Fourier Transforms of the indicated function: f (x) = e-3x for x > 0 and f (x) = e2x for x…

A: We have,fx=e-3xx&gt;0e2xx&lt;0 To Do: Find the Fourier Transform of the given function.

Q: Find the Laplace transform of the given periodic function 0<t<1 f(t) 1<t< 2

A: Given ft=00&lt;t&lt;1t1&lt;t&lt;2

Q: Obtain the F(s) of the following f(t) 1. f(t) = } (-1 0st<1 ={'1 t21

A: we have given the function f(t)=-1  , 0≤t&lt;1  1  ,    t≥1 we have to find the Laplace…

Q: 2 f(x) = (ae-4x + be-3x + ce-2x)ʻ if x>0

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Q: F(s) = 1 (s + 1)²(s² + 4)

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Q: s(1) = {" 0 1+ jwe ¹+jw (-w+j)² Given: f(t) a.) -t te -1<t<0 otherwise

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Q: Use Laplace transforms to solve the differential equation: y' + y – e-t = 0 where y (0) = 0, y (0) =…

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Q: What is the Fourier transform of: f(t)=sgn(t) e? Your answer should be expressed as a function of w…

A: Given a function ft=7i2sgnte−8t Explanation ft=7i2e−8t       for t&gt;0 ; t&gt;0 sgnt=1−7i2e8t…

Q: 4. Find the Inverse Fourier transform of Te-l@l.

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Q: Compute the Fourier transform of the Heaviside function

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Q: 1) Find the Fourier Sine transform of the function f(x) = re %3D

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Q: 0.x 1

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Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

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