The largest interval on which the following initial value problem is guaranteed to have a unique solution: (t + 5)(t – 7)y" + 6ty' – 8y = 4In|t| v(1) = 3, y'(1) = 0 Select one: а. (-5,7) b. (1,7) с. (0,7) d. (0,5)

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

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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.