|| > 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.

Q: 1. Consider the differential equation (which we saw on the wk 1 test) dy %3D У (у + 1)?(2 —у) dt…

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

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

A: First make it as in the  form of bernouilli equation  then  simple find the integrating factor then…

Q: Karla is an industrial engineer working with a chemical producer studying a process involving how a…

A: As per the guidelines, If the question has multiple subparts then we have to solve only the first…

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.