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Mathematics, 02.06.2021 22:10 gracie0818

Consider the system of differential equations y⃗ ′=[11−24]y⃗ , y⃗ (0)=[−71]. Verify that y⃗ (t)=c1e2t[2−1]+c2e3t[1−1]. is a solution to the system of differential equations for any choice of the constants c1 and c2. Find values of c1 and c2 that solve the given initial value problem. (According to the uniqueness theorem, you have found the unique solution of y⃗ ′=Py⃗ , y⃗ (0)=y⃗ 0).

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Consider the system of differential equations y⃗ ′=[11−24]y⃗ , y⃗ (0)=[−71]. Verify that y⃗ (t)=c1e2...
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