Show transcribed image text system of eqs.; eigenvalues & eigenvectors; change of variables for general solution; change of variables for initial conditions; back-transform to original variables; 1. Solve the initial value problem: dx XI + 2×2 +4x x(0)=1 dt dx, x2 (0) = 0 dt dx dt 2. Solve the initial value problem: dx x(0) = 2.0 x,(0) = 1.0 x3(0)-3.0 dt = 3.0×2 +1.0x, a=- 1.5x-2.5x, +1.5x , dt dx -3.5x,一7.5×2 +4.5×3 dt Once you have derived explicit formulas for xi(t), x2(t), and xa(t), prepare a graph showing these three variables as a function of t in the interval 0 sts2
system of eqs.; eigenvalues & eigenvectors; change of variables for general solution; change of variables for initial conditions; back-transform to original variables; 1. Solve the initial value problem: dx XI + 2×2 +4x x(0)=1 dt dx, x2 (0) = 0 dt dx dt 2. Solve the initial value problem: dx x(0) = 2.0 x,(0) = 1.0 x3(0)-3.0 dt = 3.0×2 +1.0x, a=- 1.5x-2.5x, +1.5x , dt dx -3.5x,一7.5×2 +4.5×3 dt Once you have derived explicit formulas for xi(t), x2(t), and xa(t), prepare a graph showing these three variables as a function of t in the interval 0 sts2
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