The position of a moving particle is given by s 3t +9, then its acceleration at t = 7 is %3D 27 63 126 O42

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A: Please see the answer in Step 2

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A: The given differential equation is Lets solve it using integrating fractor.

Q: Find

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A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: answer the ff

A: 2. Given the differential equation,                        (1+y2)dx+(1+x2)dy=0.

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A: Find the integration

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A: objective to find the integration.

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A: Use homogeneous equation

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A: Here we have to find the integral.

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A: In the given problem first we integrate the given integrand and  then differentiate the integral .

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A: Given,

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A:

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A: Given: j= pw2/ t --------------------------------------------------------------- To find: solve for…

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A: We have to evaluate the given integral.

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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.