|| > 1 {e*cos(x), x|< 1 30. f(x) = {0, %3D Does this function have a Fourier transform (i.e., does its Fourier transform converge)? Explain why or why not. If it does, compute its Fourier transform.

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A: The solution is given as

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Q: 2. Solve the differential equation: b. 2ye y' = 2x + 3vx

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A:

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Q: 2. Working with convolutions: a. Find t * cosh t b. Find L{t* cosh t}

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Q: Let A- ] and ů = (3) %3D %3D Commpute Av Solve for x 2-x det 10 1- X

A: Use matrix multiplication, to calculate Av⇀. Av⇀=2310113=21+33101+13=2+910+3=1113 Therefore,…

Q: mportance Bessel's differential functions in physic

A: Given: To explain the given statement is follows;

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Q: Gy" dx -x(2x? +y)dy-0

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.