y n + a (n-1) y (n-1) +a (n-2) y (n-2) + ... + a 1 y\' +a 0 y = 0 where y n is t

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yn + a(n-1)y(n-1) +a(n-2)y(n-2) + ... + a1y' +a0y = 0 where yn is the nth derivative of y Write the equation as a system of differential equations dY/dt = AY My attempt Let y1 = y, y2 = y' ... .... yn = y(n-1) dY/dt =[y1';   y2';......;  yn '] ; menas next row as in matlab Y =[y1;  y2 ; .....;yn] A = [0 1 0 0 0 0.....0; 0 0 1 0 0 0 0....0; *-a0  - a1 - ..... -a(n-1)] * = last row Is this correct? yn + a(n-1)y(n-1) +a(n-2)y(n-2) + ... + a1y' +a0y = 0 where yn is the nth derivative of y Write the equation as a system of differential equations dY/dt = AY My attempt Let y1 = y, y2 = y' ... .... yn = y(n-1) dY/dt =[y1';   y2';......;  yn '] ; menas next row as in matlab Y =[y1;  y2 ; .....;yn] A = [0 1 0 0 0 0.....0; 0 0 1 0 0 0 0....0; *-a0  - a1 - ..... -a(n-1)] * = last row Is this correct? dY/dt =[y1';   y2';......;  yn '] ; menas next row as in matlab Y =[y1;  y2 ; .....;yn] A = [0 1 0 0 0 0.....0; 0 0 1 0 0 0 0....0; *-a0  - a1 - ..... -a(n-1)] * = last row Is this correct?

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