Solve "-4y + 4y = con t w(0) =1 lv(0) = 1. " sint +cont-int vit)- v(t) = ce' cos 2t + cge" sin 21 + cost sint w() = 20" + 3te" -cost-3sint vit) - ge" cost+ ge" sin t + - cost - sint w(t) = 2e' cos 21 + 3e' sin 2t + Cost sint y(t)= - cost- 4sint O the correct answer does not appear in this list v(t) = 2e + 3le" + cost - 4 sint (t) = 2e' cos 2t + 3e sin 2t + cost- sint 12 v(t) - cos 21 + sin 21 + cost sint 10 cos 21 + sin 21 + cost- sint y(t) = 2e" cost + 3" sint + cost + sint vt) - " cost+ e" sint+ y(t) = - + 3cost- 4sint 25 v(t) - ee" + eyte + cont y(t) - 2 cost +3e" sint + sin t

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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.