6. Which of the following functions are never a solution to the differential equation y" + 2y' – 8y = 5e¬4 no matter the value of the constant A? (For example, y = Ae" is not a solution, no matter what value A takes; so y = Ae" would be a correct answer). Mark all correct answers. a) y= Ae2« b) y = Ae¬A= c) y= Are d) y= AxerAz e) y= e# +er4= + Ave"4"

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Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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A: given that the differential equation is x"+x=0           --------(1) We need to calculate  the…

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Q: Solve s(4- dx 3x2

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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.