Consider the equation x' (t) = 3 t2 e¬4 x(t). a) What type of equation is this? b) How many constant solutions are there? c) Find the general solution in implicit and in explicit form.

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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.