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Differential EquationsMediumSystems of Differential Equations

Systems of Differential Equations · Medium problem

Solve x1′=x1+x2, x2′=x2+x3, x3′=x3x_1'=x_1+x_2,\ x_2'=x_2+x_3,\ x_3'=x_3 with x(0)=(0,0,1)\mathbf x(0)=(0,0,1), and find x1(2)x_1(2).