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Differential EquationsMediumSystems of Differential Equations

Systems of Differential Equations · Medium problem

Solve x1′=4x1−2x2, x2′=x1+x2x_1'=4x_1-2x_2,\ x_2'=x_1+x_2 with x1(0)=1, x2(0)=0x_1(0)=1,\ x_2(0)=0. At what time t>0t>0 is x1(t)=3x2(t)x_1(t)=3x_2(t)?