Find the general solution of the system of equations x' = (² ) x + ( 9 -82 -9 cos t sin t x = Choose one Choose one G₂ (1 CL • sint) + c₂ (² 9 sint + cost sin t st) + ²2 ( 1 ) + cost-1/2 ( 8 ) t sint a(² (9 cost-sint) + c₂ (² 9 sin ( + cost sint ¹) + ( 2 ) t cost-/ ( 8 ) t sint (2) cost-(33) sint 19 cost-sint) + ca (1 (³ 9 sini + cost - sin ost) + 2 ( 2 ) t cost-½ (3) tsint-(2) cost-( 83 ) sint 9 83 9 cost-sint cont ²² ) + ₁₂ (² 9 sint + cost sin t st) - 2 ( 2 ) t cost + (3) tsint-(2) cost-(33) sint ½ 5₂(8 ^²)+ ₁₂ (² 9 sin ( + cost sin t st) - ( 2 ) cost - (83) sint 9 CL 9 cost-sint cont 9 cost-sint cont
Find the general solution of the system of equations x' = (² ) x + ( 9 -82 -9 cos t sin t x = Choose one Choose one G₂ (1 CL • sint) + c₂ (² 9 sint + cost sin t st) + ²2 ( 1 ) + cost-1/2 ( 8 ) t sint a(² (9 cost-sint) + c₂ (² 9 sin ( + cost sint ¹) + ( 2 ) t cost-/ ( 8 ) t sint (2) cost-(33) sint 19 cost-sint) + ca (1 (³ 9 sini + cost - sin ost) + 2 ( 2 ) t cost-½ (3) tsint-(2) cost-( 83 ) sint 9 83 9 cost-sint cont ²² ) + ₁₂ (² 9 sint + cost sin t st) - 2 ( 2 ) t cost + (3) tsint-(2) cost-(33) sint ½ 5₂(8 ^²)+ ₁₂ (² 9 sin ( + cost sin t st) - ( 2 ) cost - (83) sint 9 CL 9 cost-sint cont 9 cost-sint cont
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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