In Problems 11.37 through 11.43, determine the form of a particular solution to L(x) = 0(t) for ø(t) as given if the solution to the associated homogeneous equation L(x) = 0 is x = C1 + C2e' + Czte'. %3D 0(t) = 21 - 3t + 82 11.37.) 0(1) = t 11.38. %3D 11.39. 0(1) = te2+3 11.40. 0(t) =–-6e' %3D %3D 11.41. 0(t) = te' 0(t) = 3+t cos t 11.42. dasdw mont 11.43./ 0(t) = te" cos 3t

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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.