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Find a Trial solution for the DE y (10) 12y (9) +90y (8) — 486y(7) + 1793y(3) - 5304y5+11996y(4) - 20736y" +27504y" - 24960y + 10816y=2re² cos(3x) - (3x - 1) sin(2x) + 3e² + 2x³e- +5. given that the Characteristic Polynomial of the associated Homoge- neous Equation is (r - 2)4 (r²2r+13)(²+4).

Find a Trial solution for the DE y (10) 12y (9) +90y (8) — 486y(7) + 1793y(3) - 5304y5+11996y(4) - 20736y" +27504y" - 24960y + 10816y=2re² cos(3x) - (3x - 1) sin(2x) + 3e² + 2x³e- +5. given that the Characteristic Polynomial of the associated Homoge- neous Equation is (r - 2)4 (r²2r+13)(²+4).

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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Find a Trial solution for the DE y (10) 12y (9) +90y(8) — 486y(7) + 1793y(3) — 5304y³ +11996y(4) - 20736y" +27504y" - 24960y' +10816y= 2xe² cos(3x) - (3x − 1) sin(2x) +3e²¹ +2r³e¯² +5. given that the Characteristic Polynomial of the associated Homoge- neous Equation is (r − 2)¹ (r² — 2r +13) (²+4).
Transcribed Image Text:Find a Trial solution for the DE y (10) 12y (9) +90y(8) — 486y(7) + 1793y(3) — 5304y³ +11996y(4) - 20736y" +27504y" - 24960y' +10816y= 2xe² cos(3x) - (3x − 1) sin(2x) +3e²¹ +2r³e¯² +5. given that the Characteristic Polynomial of the associated Homoge- neous Equation is (r − 2)¹ (r² — 2r +13) (²+4).
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