Consider the linear system dY Y dt (a) Show that the function te2 Y(t) = -(t + 1)e²" is a solution to the differential equation. (b) Solve the initial-value problem (9) dY Y, 3 Y(0) %3D dt

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Differential equation is         y"' -3y"+2y'=4x-2

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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A: we have  x'+y'-x-3y=et              x'+y'+x=e3tlet ddt=D,x'=dxdt=Dx,…

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A: Topic = Differential equation

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A: Please refer the attached image for complete solution.

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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.