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y" + 2y" + y = 5 sin t + colution to homogeneous part, the form of the parti olution is = C,cost + C2sint + C3t cost + C,t sint )At?cost + Bt2sint OAtcost + Btsint Acost + Bsint Acost %3D /Cost %3D . Given the differential equation the form of the nart

y" + 2y" + y = 5 sin t + colution to homogeneous part, the form of the parti olution is = C,cost + C2sint + C3t cost + C,t sint )At?cost + Bt2sint OAtcost + Btsint Acost + Bsint Acost %3D /Cost %3D . Given the differential equation the form of the nart

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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b) Gevzt + C2e-v 25. The solution to the differential equation y" - 4y = 0 a) Ce2t+ Czte-2t + C3cos(2t)+ C4sin(2t) b) Gevzt + Cze-vZt c) Ge2t + Cze-2t + C3cos(2t) + C,sin(2t) d) Gevit + Cte-vt + Czcos(V2t) + C,sin(v2t) + Czcos(V2t) + C4sin(v2t) 26. For the differential equation y" +2y"+y = 5 sin t +7cost , given the follwoing solution to homogeneous part, the form of the particular solution is Yn = C,cost + Czsint + C3t cost + C,t sint a) At?cost + Bt2sint b) Atcost + Btsint c) Acost + Bsint d) Acost 27. Given the differential equation y" – 2y" +y = et + 7sint the form of the particular solution is a) A et + Btcost + Ctsint ) Atet+Bcost + Csint ) A e' + Bcost + Csint ) At? e' + Bcost + Csint
Transcribed Image Text:b) Gevzt + C2e-v 25. The solution to the differential equation y" - 4y = 0 a) Ce2t+ Czte-2t + C3cos(2t)+ C4sin(2t) b) Gevzt + Cze-vZt c) Ge2t + Cze-2t + C3cos(2t) + C,sin(2t) d) Gevit + Cte-vt + Czcos(V2t) + C,sin(v2t) + Czcos(V2t) + C4sin(v2t) 26. For the differential equation y" +2y"+y = 5 sin t +7cost , given the follwoing solution to homogeneous part, the form of the particular solution is Yn = C,cost + Czsint + C3t cost + C,t sint a) At?cost + Bt2sint b) Atcost + Btsint c) Acost + Bsint d) Acost 27. Given the differential equation y" – 2y" +y = et + 7sint the form of the particular solution is a) A et + Btcost + Ctsint ) Atet+Bcost + Csint ) A e' + Bcost + Csint ) At? e' + Bcost + Csint
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