Find a,b and c so that the quadrature formula has the highest degree of precision f(x)dx % af(0) + bf (1) + ef(2) O a=1/3 b=-4/3 c=1/3 O a=1/3 b=-2/3 c=1/9 O a=1/3 b=4/3 c=1/3 a=1/3 b=2/3 c=-1/9

Q: solve using the appropriate method.

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Q: 1. (у — х +хусotx)dx + xdy%3D0

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

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A: Here I am attaching image so that you understand each and every step.

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A: Please refer the attached image for complete solution. THANK YOU.

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

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A: Solution :-

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Q: 16) Use the method of Variation of Parameters to solve 3y" – 6y' + 6y = e* sec x.

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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.