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Differential EquationsChallengeSystems of Differential Equations

Systems of Differential Equations · Challenge problem

Solve the three-dimensional system x1′=x2+x3, x2′=x1+x3, x3′=x1+x2x_1'=x_2+x_3,\ x_2'=x_1+x_3,\ x_3'=x_1+x_2 with x(0)=(1,0,0)\mathbf x(0)=(1,0,0), and find x1(ln⁡2)x_1(\ln 2).