The functions y1(t) = t² and y2(t) = t³ are solutions of the homogeneous differential equation t’y" – 4ty' + 6y = 0 %3! on (0, 0). When using variation of parameters with y = u1(t)t² +u2(t)t³ to find a solution of the nonhomogeneous differential equation t*y" – 4ty' + 6y = 4t%, %3D what is the function u(t) ? (Submit the corresponding number without parentheses.)

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

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A: topic - differential 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.