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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text: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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