Question

1 (1 point) Find the most general real-valued solution to the linear system of differential equations a 2 -1 xit) = C1 + C2 x2(t) -

Answer 1

0 Solution : z z z Given that X'= (2 ula where A- A Li- which is of the foom X: AOL, To find the Eigen value's The chataclecistic Equation is | A-261-0 |-2-21 no 1-1-6 2 1-2-216-4-2)+10 8+22+42+2410 2276279-0 (17370 7+3=0 7+3=0 2=-3,-3. .: The Egen values of A etc 17-3. Ergen vecko coool cococópording to 7o-3 is (A-11)*=0 The (A+372X=0 (-2+3 1 -45 ]%1] • [0]

- [ .] . 3 + :0 2 : - X ة - bet [ 90 اعر ) -- Eigen verloo coresponding The neal Eigen vedlo ve to find this 19 + A : - . be an (A-AL)x : 19 [. ][][ 3, +2 : - - - - ا و (: ة - 8۔ :: ]: " : - g het ) : و اعر -) مكه be an Eigen vecleos pero The General solution of given zolen so at ( واع و 3 + و علمی و = (att + )) : (اح att) ، « [] :: [ [3] [2] 32۔ 32 م ن ا م ا - و تی 2م 32 تم یا + مراجع و مح (2) ہے۔ 32 (( رے ۔ -: [شه د یا 3 م 32 Thank you z

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