Solve the separable equation (2/1+t²) dy= (ty¬1)dt subject to y(0) = -Vā where a > 0 is a constant. Select one: y(t) = VI+ +a-1 - . O y(t) = +/vI+t² +a – 1 O y(t) = -V vI+t² – a + 1 y(t) = VI+² +a–1

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A: Please refer to the image below

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A: NOTE: Refresh your page if you can't see any equations. .

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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.