Consider the linear homogeneous systemx= p11(t)x +
Chapter 7, Problem 15(choose chapter or problem)
Consider the linear homogeneous systemx= p11(t)x + p12(t)y,y= p21(t)x + p22(t)y.Show that if x = x1(t), y = y1(t) and x = x2(t), y = y2(t) are two solutions of the givensystem, then x = c1x1(t) + c2x2(t), y = c1y1(t) + c2y2(t) is also a solution for any constantsc1 and c2. This is the principle of superposition
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