Consider the differential equation: y"+ 18y + 81y = te-", t>0. a. Find the general solution to the corresponding homogeneous equation. In your answer, use c1 and C2 to denote arbitrary constants. Enter c1 as c1 and c2 as c2. Yc = cle b. Apply variation of parameters to find a particular solution. 91 log(1) Yp

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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.