Phantom L.

asked • 03/24/18

Differential Equation Problem. No clue how to do this.

Find the derivatives of each of the following vectors.
 
x(t) = [ t3 - 2t2 +t
                etsin(t) ]

Arturo O.

Is this a 2-component vector?
 
x1(t) = t3 - 2t2 + t
 
x2(t) = etsin(t)
 
?
 
It is hard to tell from the way the problem is stated.
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03/24/18

Phantom L.

The 2 equations are inside one bracket.  The etsin(t) is just below t3 - 2t2 + t. I was thinking of simply deriving each equation with respect to "t" and get  an answer in a bracket form, but I'm not sure if it's the right way.
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03/24/18

1 Expert Answer

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Arturo O. answered • 03/24/18

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Phantom L.

How would I know if vectors "i" and "j" are constants?
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03/24/18

Phantom L.

How would I know that "i" and "j" are constant? And to re-write it in a vector function form from a bracket form, do I just simply take the top equation which would be my "i", combining with my 2nd equation would be my "j"?
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03/24/18

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