Question: 4. Define a two-dimensional vector function y (f) by cos (t) y(t) = sin(t) + sin(2t ), Does y(t) satisfy a matrix differential equation dy

 4. Define a two-dimensional vector function y (f) by cos (t)

4. Define a two-dimensional vector function y (f) by cos (t) y(t) = sin(t) + sin(2t ), Does y(t) satisfy a matrix differential equation dy = By dt for some constant 2 x 2 matrix B? Explain. Hint. The plot of the curve traced out by y() for -atx shown in the figure below may be relevant. Figure 1: A parametric plot of y(t)

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