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(1 point) Consider the initial value problem dx [2 -5 dt 15 2 (a) Find the eigenvalues and elgenvectors for the coefficient m
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Solve A The en initial value noblem -厂2-5 5 2 where A= [2-2] and X-r2] 2才 5 与 2 -5 $2 2 (2-1) =-25 2. Tf take-ve then eigen2-12-51] L given by, XI= 341 2-(2+S)S 2- (2+Si) 5& ラー25 t b dt 2-5 dt 2 -5342 52, 2212 312 342-5바+2H2-12) d+ dt 2Than comblemantbuy uncton ig given by Given that x(o) in -Qquatton (3), we get Puth.n 7 , the value 거2 A ) _ of a, (4) D-2)[ePutting the Value8 and c2 m equation (5) (6), we and aro 2-12(A)--卓トー10.gm(54) _ 30 .co-8 (SA) 29-.gins 5 m2(숏)-1-eT 30 co8(5

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