Solve the linear D.E D Xdy (2y + 2x+ X²Jdx ニ 2) sinx dy + y cos X = 2sin? x Cos X D (x²+1) + 4x y ニ Ox (x2+1) 4) (1-x²) dy + 2xy = X Vi - x2

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A: Since you have posted multiple questions we will solve the first question for you. If you want any…

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A: We will answer the first question since exact one wasn't specified, Please resubmit the question and…

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A: This is the question of integration.

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A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

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A: As per the bartleby guideline if more than one question is asked only first will be answered kindly…

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A: For the solution follow the next steps.

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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.